TSTP Solution File: GRP689-1 by Twee---2.5.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.5.0
% Problem : GRP689-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% Computer : n025.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 : Mon Jun 24 07:13:27 EDT 2024
% Result : Unsatisfiable 57.41s 7.56s
% Output : Proof 60.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP689-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 07:10:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 57.41/7.56 Command-line arguments: --flatten
% 57.41/7.56
% 57.41/7.56 % SZS status Unsatisfiable
% 57.41/7.56
% 59.39/7.85 % SZS output start Proof
% 59.39/7.85 Axiom 1 (c05): mult(X, unit) = X.
% 59.39/7.85 Axiom 2 (c06): mult(unit, X) = X.
% 59.39/7.85 Axiom 3 (c02): ld(X, mult(X, Y)) = Y.
% 59.39/7.85 Axiom 4 (c04): rd(mult(X, Y), Y) = X.
% 59.39/7.85 Axiom 5 (c01): mult(X, ld(X, Y)) = Y.
% 59.39/7.85 Axiom 6 (c09): i(mult(X, Y)) = mult(i(X), i(Y)).
% 59.39/7.85 Axiom 7 (c03): mult(rd(X, Y), Y) = X.
% 59.39/7.85 Axiom 8 (c08): mult(i(X), mult(X, Y)) = Y.
% 59.39/7.85 Axiom 9 (c10): mult(op_c, mult(op_c, mult(op_c, op_c))) = unit.
% 59.39/7.85 Axiom 10 (c07): mult(X, mult(Y, mult(X, Z))) = mult(mult(X, mult(Y, X)), Z).
% 59.39/7.85 Axiom 11 (c11): mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = unit.
% 59.39/7.85
% 59.39/7.85 Lemma 12: mult(X, mult(op_c, mult(op_c, mult(op_c, op_c)))) = X.
% 59.39/7.85 Proof:
% 59.39/7.85 mult(X, mult(op_c, mult(op_c, mult(op_c, op_c))))
% 59.39/7.85 = { by axiom 9 (c10) }
% 59.39/7.85 mult(X, unit)
% 59.39/7.85 = { by axiom 1 (c05) }
% 59.39/7.85 X
% 59.39/7.85
% 59.39/7.85 Lemma 13: mult(op_c, mult(op_c, mult(op_c, op_c))) = mult(i(X), X).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(op_c, mult(op_c, mult(op_c, op_c)))
% 59.39/7.85 = { by axiom 9 (c10) }
% 59.39/7.85 unit
% 59.39/7.85 = { by axiom 8 (c08) R->L }
% 59.39/7.85 mult(i(X), mult(X, unit))
% 59.39/7.85 = { by axiom 1 (c05) }
% 59.39/7.85 mult(i(X), X)
% 59.39/7.85
% 59.39/7.85 Lemma 14: i(i(X)) = X.
% 59.39/7.85 Proof:
% 59.39/7.85 i(i(X))
% 59.39/7.85 = { by lemma 12 R->L }
% 59.39/7.85 mult(i(i(X)), mult(op_c, mult(op_c, mult(op_c, op_c))))
% 59.39/7.85 = { by lemma 13 }
% 59.39/7.85 mult(i(i(X)), mult(i(X), X))
% 59.39/7.85 = { by axiom 8 (c08) }
% 59.39/7.85 X
% 59.39/7.85
% 59.39/7.85 Lemma 15: ld(i(X), Y) = mult(X, Y).
% 59.39/7.85 Proof:
% 59.39/7.85 ld(i(X), Y)
% 59.39/7.85 = { by axiom 8 (c08) R->L }
% 59.39/7.85 ld(i(X), mult(i(X), mult(X, Y)))
% 59.39/7.85 = { by axiom 3 (c02) }
% 59.39/7.85 mult(X, Y)
% 59.39/7.85
% 59.39/7.85 Lemma 16: mult(i(X), Y) = ld(X, Y).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(i(X), Y)
% 59.39/7.85 = { by axiom 5 (c01) R->L }
% 59.39/7.85 mult(i(X), mult(X, ld(X, Y)))
% 59.39/7.85 = { by axiom 8 (c08) }
% 59.39/7.85 ld(X, Y)
% 59.39/7.85
% 59.39/7.85 Lemma 17: i(mult(X, Y)) = ld(X, i(Y)).
% 59.39/7.85 Proof:
% 59.39/7.85 i(mult(X, Y))
% 59.39/7.85 = { by axiom 6 (c09) }
% 59.39/7.85 mult(i(X), i(Y))
% 59.39/7.85 = { by lemma 16 }
% 59.39/7.85 ld(X, i(Y))
% 59.39/7.85
% 59.39/7.85 Lemma 18: mult(X, i(Y)) = i(ld(X, Y)).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(X, i(Y))
% 59.39/7.85 = { by lemma 15 R->L }
% 59.39/7.85 ld(i(X), i(Y))
% 59.39/7.85 = { by lemma 17 R->L }
% 59.39/7.85 i(mult(i(X), Y))
% 59.39/7.85 = { by lemma 16 }
% 59.39/7.85 i(ld(X, Y))
% 59.39/7.85
% 59.39/7.85 Lemma 19: mult(op_c, mult(op_c, mult(op_c, op_c))) = ld(X, X).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(op_c, mult(op_c, mult(op_c, op_c)))
% 59.39/7.85 = { by axiom 9 (c10) }
% 59.39/7.85 unit
% 59.39/7.85 = { by axiom 3 (c02) R->L }
% 59.39/7.85 ld(X, mult(X, unit))
% 59.39/7.85 = { by axiom 1 (c05) }
% 59.39/7.85 ld(X, X)
% 59.39/7.85
% 59.39/7.85 Lemma 20: mult(op_c, mult(op_c, mult(op_c, op_c))) = mult(X, i(X)).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(op_c, mult(op_c, mult(op_c, op_c)))
% 59.39/7.85 = { by lemma 19 }
% 59.39/7.85 ld(i(X), i(X))
% 59.39/7.85 = { by lemma 15 }
% 59.39/7.85 mult(X, i(X))
% 59.39/7.85
% 59.39/7.85 Lemma 21: mult(mult(X, X), Y) = mult(X, mult(X, Y)).
% 59.39/7.85 Proof:
% 59.39/7.85 mult(mult(X, X), Y)
% 59.39/7.85 = { by axiom 2 (c06) R->L }
% 59.39/7.85 mult(mult(X, mult(unit, X)), Y)
% 59.39/7.85 = { by axiom 10 (c07) R->L }
% 59.39/7.85 mult(X, mult(unit, mult(X, Y)))
% 59.39/7.85 = { by axiom 2 (c06) }
% 59.39/7.85 mult(X, mult(X, Y))
% 59.39/7.85
% 59.39/7.85 Lemma 22: rd(mult(X, mult(X, Y)), Y) = mult(X, X).
% 59.39/7.85 Proof:
% 59.39/7.85 rd(mult(X, mult(X, Y)), Y)
% 59.39/7.85 = { by lemma 21 R->L }
% 59.39/7.85 rd(mult(mult(X, X), Y), Y)
% 59.39/7.85 = { by axiom 4 (c04) }
% 59.79/7.85 mult(X, X)
% 59.79/7.85
% 59.79/7.85 Lemma 23: rd(X, i(X)) = mult(X, X).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(X, i(X))
% 59.79/7.85 = { by lemma 12 R->L }
% 59.79/7.85 rd(mult(X, mult(op_c, mult(op_c, mult(op_c, op_c)))), i(X))
% 59.79/7.85 = { by lemma 20 }
% 59.79/7.85 rd(mult(X, mult(X, i(X))), i(X))
% 59.79/7.85 = { by lemma 22 }
% 59.79/7.85 mult(X, X)
% 59.79/7.85
% 59.79/7.85 Lemma 24: ld(rd(X, Y), i(Y)) = i(X).
% 59.79/7.85 Proof:
% 59.79/7.85 ld(rd(X, Y), i(Y))
% 59.79/7.85 = { by lemma 17 R->L }
% 59.79/7.85 i(mult(rd(X, Y), Y))
% 59.79/7.85 = { by axiom 7 (c03) }
% 59.79/7.85 i(X)
% 59.79/7.85
% 59.79/7.85 Lemma 25: rd(X, ld(Y, X)) = Y.
% 59.79/7.85 Proof:
% 59.79/7.85 rd(X, ld(Y, X))
% 59.79/7.85 = { by axiom 5 (c01) R->L }
% 59.79/7.85 rd(mult(Y, ld(Y, X)), ld(Y, X))
% 59.79/7.85 = { by axiom 4 (c04) }
% 59.79/7.85 Y
% 59.79/7.85
% 59.79/7.85 Lemma 26: rd(i(X), i(Y)) = rd(Y, X).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(i(X), i(Y))
% 59.79/7.85 = { by lemma 24 R->L }
% 59.79/7.85 rd(i(X), ld(rd(Y, X), i(X)))
% 59.79/7.85 = { by lemma 25 }
% 59.79/7.85 rd(Y, X)
% 59.79/7.85
% 59.79/7.85 Lemma 27: rd(X, i(Y)) = rd(Y, i(X)).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(X, i(Y))
% 59.79/7.85 = { by lemma 26 R->L }
% 59.79/7.85 rd(i(i(Y)), i(X))
% 59.79/7.85 = { by lemma 14 }
% 59.79/7.85 rd(Y, i(X))
% 59.79/7.85
% 59.79/7.85 Lemma 28: ld(X, mult(op_c, mult(op_c, mult(op_c, op_c)))) = i(X).
% 59.79/7.85 Proof:
% 59.79/7.85 ld(X, mult(op_c, mult(op_c, mult(op_c, op_c))))
% 59.79/7.85 = { by axiom 9 (c10) }
% 59.79/7.85 ld(X, unit)
% 59.79/7.85 = { by lemma 16 R->L }
% 59.79/7.85 mult(i(X), unit)
% 59.79/7.85 = { by axiom 1 (c05) }
% 59.79/7.85 i(X)
% 59.79/7.85
% 59.79/7.85 Lemma 29: rd(i(X), X) = ld(X, i(X)).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(i(X), X)
% 59.79/7.85 = { by lemma 28 R->L }
% 59.79/7.85 rd(ld(X, mult(op_c, mult(op_c, mult(op_c, op_c)))), X)
% 59.79/7.85 = { by lemma 16 R->L }
% 59.79/7.85 rd(mult(i(X), mult(op_c, mult(op_c, mult(op_c, op_c)))), X)
% 59.79/7.85 = { by lemma 13 }
% 59.79/7.85 rd(mult(i(X), mult(i(X), X)), X)
% 59.79/7.85 = { by lemma 22 }
% 59.79/7.85 mult(i(X), i(X))
% 59.79/7.85 = { by axiom 6 (c09) R->L }
% 59.79/7.85 i(mult(X, X))
% 59.79/7.85 = { by lemma 17 }
% 59.79/7.85 ld(X, i(X))
% 59.79/7.85
% 59.79/7.85 Lemma 30: rd(mult(op_c, mult(op_c, mult(op_c, op_c))), X) = i(X).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(mult(op_c, mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.85 = { by lemma 13 }
% 59.79/7.85 rd(mult(i(X), X), X)
% 59.79/7.85 = { by axiom 4 (c04) }
% 59.79/7.85 i(X)
% 59.79/7.85
% 59.79/7.85 Lemma 31: i(mult(op_c, mult(op_c, op_c))) = op_c.
% 59.79/7.85 Proof:
% 59.79/7.85 i(mult(op_c, mult(op_c, op_c)))
% 59.79/7.85 = { by lemma 30 R->L }
% 59.79/7.85 rd(mult(op_c, mult(op_c, mult(op_c, op_c))), mult(op_c, mult(op_c, op_c)))
% 59.79/7.85 = { by axiom 4 (c04) }
% 59.79/7.85 op_c
% 59.79/7.85
% 59.79/7.85 Lemma 32: mult(op_c, mult(op_c, op_c)) = i(op_c).
% 59.79/7.85 Proof:
% 59.79/7.85 mult(op_c, mult(op_c, op_c))
% 59.79/7.85 = { by lemma 14 R->L }
% 59.79/7.85 i(i(mult(op_c, mult(op_c, op_c))))
% 59.79/7.85 = { by lemma 31 }
% 59.79/7.85 i(op_c)
% 59.79/7.85
% 59.79/7.85 Lemma 33: i(mult(op_c, op_c)) = mult(op_c, op_c).
% 59.79/7.85 Proof:
% 59.79/7.85 i(mult(op_c, op_c))
% 59.79/7.85 = { by lemma 17 }
% 59.79/7.85 ld(op_c, i(op_c))
% 59.79/7.85 = { by lemma 32 R->L }
% 59.79/7.85 ld(op_c, mult(op_c, mult(op_c, op_c)))
% 59.79/7.85 = { by axiom 3 (c02) }
% 59.79/7.85 mult(op_c, op_c)
% 59.79/7.85
% 59.79/7.85 Lemma 34: rd(X, mult(Y, X)) = i(Y).
% 59.79/7.85 Proof:
% 59.79/7.85 rd(X, mult(Y, X))
% 59.79/7.85 = { by axiom 8 (c08) R->L }
% 59.79/7.85 rd(mult(i(Y), mult(Y, X)), mult(Y, X))
% 59.79/7.85 = { by axiom 4 (c04) }
% 59.79/7.86 i(Y)
% 59.79/7.86
% 59.79/7.86 Lemma 35: i(rd(X, Y)) = rd(Y, X).
% 59.79/7.86 Proof:
% 59.79/7.86 i(rd(X, Y))
% 59.79/7.86 = { by lemma 34 R->L }
% 59.79/7.86 rd(Y, mult(rd(X, Y), Y))
% 59.79/7.86 = { by axiom 7 (c03) }
% 59.79/7.86 rd(Y, X)
% 59.79/7.86
% 59.79/7.86 Lemma 36: mult(mult(op_c, op_c), X) = ld(mult(op_c, op_c), X).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(mult(op_c, op_c), X)
% 59.79/7.86 = { by lemma 15 R->L }
% 59.79/7.86 ld(i(mult(op_c, op_c)), X)
% 59.79/7.86 = { by lemma 33 }
% 59.79/7.86 ld(mult(op_c, op_c), X)
% 59.79/7.86
% 59.79/7.86 Lemma 37: mult(mult(op_c, mult(op_c, op_c)), X) = ld(op_c, X).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(mult(op_c, mult(op_c, op_c)), X)
% 59.79/7.86 = { by lemma 15 R->L }
% 59.79/7.86 ld(i(mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.86 = { by lemma 31 }
% 59.79/7.86 ld(op_c, X)
% 59.79/7.86
% 59.79/7.86 Lemma 38: ld(mult(op_c, op_c), X) = ld(op_c, ld(op_c, X)).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(mult(op_c, op_c), X)
% 59.79/7.86 = { by lemma 36 R->L }
% 59.79/7.86 mult(mult(op_c, op_c), X)
% 59.79/7.86 = { by axiom 8 (c08) R->L }
% 59.79/7.86 mult(mult(i(op_c), mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.86 = { by lemma 32 R->L }
% 59.79/7.86 mult(mult(mult(op_c, mult(op_c, op_c)), mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.86 = { by lemma 21 }
% 59.79/7.86 mult(mult(op_c, mult(op_c, op_c)), mult(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.86 = { by lemma 37 }
% 59.79/7.86 ld(op_c, mult(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.86 = { by lemma 37 }
% 59.79/7.86 ld(op_c, ld(op_c, X))
% 59.79/7.86
% 59.79/7.86 Lemma 39: mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = mult(op_c, mult(op_c, mult(op_c, op_c))).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.86 = { by axiom 11 (c11) }
% 59.79/7.86 unit
% 59.79/7.86 = { by axiom 9 (c10) R->L }
% 59.79/7.86 mult(op_c, mult(op_c, mult(op_c, op_c)))
% 59.79/7.86
% 59.79/7.86 Lemma 40: i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = op_d.
% 59.79/7.86 Proof:
% 59.79/7.86 i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.86 = { by lemma 30 R->L }
% 59.79/7.86 rd(mult(op_c, mult(op_c, mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.86 = { by lemma 39 R->L }
% 59.79/7.86 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.86 = { by axiom 4 (c04) }
% 59.79/7.86 op_d
% 59.79/7.86
% 59.79/7.86 Lemma 41: mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))) = i(op_d).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.86 = { by lemma 14 R->L }
% 59.79/7.86 i(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.86 = { by lemma 40 }
% 59.79/7.86 i(op_d)
% 59.79/7.86
% 59.79/7.86 Lemma 42: mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = i(mult(op_d, op_d)).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.86 = { by axiom 3 (c02) R->L }
% 59.79/7.86 ld(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.86 = { by lemma 41 }
% 59.79/7.86 ld(op_d, i(op_d))
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 i(mult(op_d, op_d))
% 59.79/7.86
% 59.79/7.86 Lemma 43: mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X) = ld(mult(op_d, op_d), X).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.86 = { by lemma 42 }
% 59.79/7.86 mult(i(mult(op_d, op_d)), X)
% 59.79/7.86 = { by lemma 16 }
% 59.79/7.86 ld(mult(op_d, op_d), X)
% 59.79/7.86
% 59.79/7.86 Lemma 44: mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, X)) = X.
% 59.79/7.86 Proof:
% 59.79/7.86 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, X))
% 59.79/7.86 = { by lemma 41 }
% 59.79/7.86 mult(i(op_d), mult(op_d, X))
% 59.79/7.86 = { by axiom 8 (c08) }
% 59.79/7.86 X
% 59.79/7.86
% 59.79/7.86 Lemma 45: mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X) = ld(op_d, X).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.86 = { by lemma 15 R->L }
% 59.79/7.86 ld(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X)
% 59.79/7.86 = { by lemma 40 }
% 59.79/7.86 ld(op_d, X)
% 59.79/7.86
% 59.79/7.86 Lemma 46: ld(mult(op_d, op_d), X) = ld(op_d, ld(op_d, X)).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(mult(op_d, op_d), X)
% 59.79/7.86 = { by lemma 43 R->L }
% 59.79/7.86 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.86 = { by lemma 44 R->L }
% 59.79/7.86 mult(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X)
% 59.79/7.86 = { by lemma 21 }
% 59.79/7.86 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.86 = { by lemma 45 }
% 59.79/7.86 ld(op_d, mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.86 = { by lemma 45 }
% 59.79/7.86 ld(op_d, ld(op_d, X))
% 59.79/7.86
% 59.79/7.86 Lemma 47: ld(rd(X, Y), X) = Y.
% 59.79/7.86 Proof:
% 59.79/7.86 ld(rd(X, Y), X)
% 59.79/7.86 = { by axiom 7 (c03) R->L }
% 59.79/7.86 ld(rd(X, Y), mult(rd(X, Y), Y))
% 59.79/7.86 = { by axiom 3 (c02) }
% 59.79/7.86 Y
% 59.79/7.86
% 59.79/7.86 Lemma 48: i(ld(X, i(Y))) = mult(X, Y).
% 59.79/7.86 Proof:
% 59.79/7.86 i(ld(X, i(Y)))
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 i(i(mult(X, Y)))
% 59.79/7.86 = { by lemma 14 }
% 59.79/7.86 mult(X, Y)
% 59.79/7.86
% 59.79/7.86 Lemma 49: rd(mult(X, mult(Y, mult(X, Z))), Z) = mult(X, mult(Y, X)).
% 59.79/7.86 Proof:
% 59.79/7.86 rd(mult(X, mult(Y, mult(X, Z))), Z)
% 59.79/7.86 = { by axiom 10 (c07) }
% 59.79/7.86 rd(mult(mult(X, mult(Y, X)), Z), Z)
% 59.79/7.86 = { by axiom 4 (c04) }
% 59.79/7.86 mult(X, mult(Y, X))
% 59.79/7.86
% 59.79/7.86 Lemma 50: ld(X, i(ld(Y, X))) = rd(ld(X, Y), X).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(X, i(ld(Y, X)))
% 59.79/7.86 = { by lemma 18 R->L }
% 59.79/7.86 ld(X, mult(Y, i(X)))
% 59.79/7.86 = { by lemma 16 R->L }
% 59.79/7.86 mult(i(X), mult(Y, i(X)))
% 59.79/7.86 = { by lemma 49 R->L }
% 59.79/7.86 rd(mult(i(X), mult(Y, mult(i(X), X))), X)
% 59.79/7.86 = { by lemma 13 R->L }
% 59.79/7.86 rd(mult(i(X), mult(Y, mult(op_c, mult(op_c, mult(op_c, op_c))))), X)
% 59.79/7.86 = { by lemma 16 }
% 59.79/7.86 rd(ld(X, mult(Y, mult(op_c, mult(op_c, mult(op_c, op_c))))), X)
% 59.79/7.86 = { by lemma 12 }
% 59.79/7.86 rd(ld(X, Y), X)
% 59.79/7.86
% 59.79/7.86 Lemma 51: mult(X, ld(Y, X)) = rd(X, ld(X, Y)).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(X, ld(Y, X))
% 59.79/7.86 = { by lemma 48 R->L }
% 59.79/7.86 i(ld(X, i(ld(Y, X))))
% 59.79/7.86 = { by lemma 50 }
% 59.79/7.86 i(rd(ld(X, Y), X))
% 59.79/7.86 = { by lemma 35 }
% 59.79/7.86 rd(X, ld(X, Y))
% 59.79/7.86
% 59.79/7.86 Lemma 52: mult(rd(X, Y), Z) = ld(rd(Y, X), Z).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(rd(X, Y), Z)
% 59.79/7.86 = { by lemma 15 R->L }
% 59.79/7.86 ld(i(rd(X, Y)), Z)
% 59.79/7.86 = { by lemma 35 }
% 59.79/7.86 ld(rd(Y, X), Z)
% 59.79/7.86
% 59.79/7.86 Lemma 53: rd(ld(X, Y), Y) = i(X).
% 59.79/7.86 Proof:
% 59.79/7.86 rd(ld(X, Y), Y)
% 59.79/7.86 = { by lemma 16 R->L }
% 59.79/7.86 rd(mult(i(X), Y), Y)
% 59.79/7.86 = { by axiom 4 (c04) }
% 59.79/7.86 i(X)
% 59.79/7.86
% 59.79/7.86 Lemma 54: ld(X, i(ld(X, Y))) = i(Y).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(X, i(ld(X, Y)))
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 i(mult(X, ld(X, Y)))
% 59.79/7.86 = { by axiom 5 (c01) }
% 59.79/7.86 i(Y)
% 59.79/7.86
% 59.79/7.86 Lemma 55: ld(ld(X, i(Y)), Z) = mult(mult(X, Y), Z).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(ld(X, i(Y)), Z)
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 ld(i(mult(X, Y)), Z)
% 59.79/7.86 = { by lemma 15 }
% 59.79/7.86 mult(mult(X, Y), Z)
% 59.79/7.86
% 59.79/7.86 Lemma 56: mult(ld(X, i(X)), Y) = ld(X, ld(X, Y)).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(ld(X, i(X)), Y)
% 59.79/7.86 = { by lemma 16 R->L }
% 59.79/7.86 mult(mult(i(X), i(X)), Y)
% 59.79/7.86 = { by lemma 21 }
% 59.79/7.86 mult(i(X), mult(i(X), Y))
% 59.79/7.86 = { by lemma 16 }
% 59.79/7.86 ld(X, mult(i(X), Y))
% 59.79/7.86 = { by lemma 16 }
% 59.79/7.86 ld(X, ld(X, Y))
% 59.79/7.86
% 59.79/7.86 Lemma 57: mult(ld(X, i(Y)), Z) = ld(mult(X, Y), Z).
% 59.79/7.86 Proof:
% 59.79/7.86 mult(ld(X, i(Y)), Z)
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 mult(i(mult(X, Y)), Z)
% 59.79/7.86 = { by lemma 16 }
% 59.79/7.86 ld(mult(X, Y), Z)
% 59.79/7.86
% 59.79/7.86 Lemma 58: rd(i(X), mult(X, Y)) = ld(X, ld(Y, i(X))).
% 59.79/7.86 Proof:
% 59.79/7.86 rd(i(X), mult(X, Y))
% 59.79/7.86 = { by lemma 48 R->L }
% 59.79/7.86 rd(i(X), i(ld(X, i(Y))))
% 59.79/7.86 = { by lemma 26 }
% 59.79/7.86 rd(ld(X, i(Y)), X)
% 59.79/7.86 = { by lemma 50 R->L }
% 59.79/7.86 ld(X, i(ld(i(Y), X)))
% 59.79/7.86 = { by lemma 15 }
% 59.79/7.86 ld(X, i(mult(Y, X)))
% 59.79/7.86 = { by lemma 17 }
% 59.79/7.86 ld(X, ld(Y, i(X)))
% 59.79/7.86
% 59.79/7.86 Lemma 59: rd(i(X), rd(Y, Z)) = rd(rd(Z, Y), X).
% 59.79/7.86 Proof:
% 59.79/7.86 rd(i(X), rd(Y, Z))
% 59.79/7.86 = { by lemma 35 R->L }
% 59.79/7.86 rd(i(X), i(rd(Z, Y)))
% 59.79/7.86 = { by lemma 26 }
% 59.79/7.86 rd(rd(Z, Y), X)
% 59.79/7.86
% 59.79/7.86 Lemma 60: ld(rd(X, mult(op_c, op_c)), mult(op_c, op_c)) = i(X).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(rd(X, mult(op_c, op_c)), mult(op_c, op_c))
% 59.79/7.86 = { by lemma 33 R->L }
% 59.79/7.86 ld(rd(X, mult(op_c, op_c)), i(mult(op_c, op_c)))
% 59.79/7.86 = { by lemma 24 }
% 59.79/7.86 i(X)
% 59.79/7.86
% 59.79/7.86 Lemma 61: rd(mult(op_c, op_c), i(X)) = rd(X, mult(op_c, op_c)).
% 59.79/7.86 Proof:
% 59.79/7.86 rd(mult(op_c, op_c), i(X))
% 59.79/7.86 = { by lemma 60 R->L }
% 59.79/7.86 rd(mult(op_c, op_c), ld(rd(X, mult(op_c, op_c)), mult(op_c, op_c)))
% 59.79/7.86 = { by lemma 25 }
% 59.79/7.86 rd(X, mult(op_c, op_c))
% 59.79/7.86
% 59.79/7.86 Lemma 62: i(ld(X, mult(op_c, op_c))) = mult(X, mult(op_c, op_c)).
% 59.79/7.86 Proof:
% 59.79/7.86 i(ld(X, mult(op_c, op_c)))
% 59.79/7.86 = { by lemma 18 R->L }
% 59.79/7.86 mult(X, i(mult(op_c, op_c)))
% 59.79/7.86 = { by lemma 33 }
% 59.79/7.86 mult(X, mult(op_c, op_c))
% 59.79/7.86
% 59.79/7.86 Lemma 63: i(ld(X, rd(Y, Z))) = mult(X, rd(Z, Y)).
% 59.79/7.86 Proof:
% 59.79/7.86 i(ld(X, rd(Y, Z)))
% 59.79/7.86 = { by lemma 18 R->L }
% 59.79/7.86 mult(X, i(rd(Y, Z)))
% 59.79/7.86 = { by lemma 35 }
% 59.79/7.86 mult(X, rd(Z, Y))
% 59.79/7.86
% 59.79/7.86 Lemma 64: i(ld(mult(op_c, op_c), X)) = ld(mult(op_c, op_c), i(X)).
% 59.79/7.86 Proof:
% 59.79/7.86 i(ld(mult(op_c, op_c), X))
% 59.79/7.86 = { by lemma 36 R->L }
% 59.79/7.86 i(mult(mult(op_c, op_c), X))
% 59.79/7.86 = { by lemma 17 }
% 59.79/7.86 ld(mult(op_c, op_c), i(X))
% 59.79/7.86
% 59.79/7.86 Lemma 65: ld(X, mult(op_c, mult(op_c, op_c))) = i(mult(X, op_c)).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(X, mult(op_c, mult(op_c, op_c)))
% 59.79/7.86 = { by lemma 32 }
% 59.79/7.86 ld(X, i(op_c))
% 59.79/7.86 = { by lemma 17 R->L }
% 59.79/7.86 i(mult(X, op_c))
% 59.79/7.86
% 59.79/7.86 Lemma 66: ld(mult(op_c, mult(op_c, op_c)), X) = mult(op_c, X).
% 59.79/7.86 Proof:
% 59.79/7.86 ld(mult(op_c, mult(op_c, op_c)), X)
% 59.79/7.86 = { by lemma 16 R->L }
% 59.79/7.86 mult(i(mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.86 = { by lemma 31 }
% 59.79/7.86 mult(op_c, X)
% 59.79/7.86
% 59.79/7.86 Lemma 67: mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))) = i(mult(op_d, mult(op_d, op_d))).
% 59.79/7.86 Proof:
% 59.79/7.87 mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.87 = { by axiom 3 (c02) R->L }
% 59.79/7.87 ld(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.87 = { by lemma 42 }
% 59.79/7.87 ld(op_d, i(mult(op_d, op_d)))
% 59.79/7.87 = { by lemma 17 R->L }
% 59.79/7.87 i(mult(op_d, mult(op_d, op_d)))
% 59.79/7.87
% 59.79/7.87 Lemma 68: mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X) = ld(mult(op_d, mult(op_d, op_d)), X).
% 59.79/7.87 Proof:
% 59.79/7.87 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.87 = { by lemma 67 }
% 59.79/7.87 mult(i(mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.87 = { by lemma 16 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, op_d)), X)
% 59.79/7.87
% 59.79/7.87 Lemma 69: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X) = mult(op_d, X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.87 = { by lemma 16 R->L }
% 59.79/7.87 mult(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X)
% 59.79/7.87 = { by lemma 40 }
% 59.79/7.87 mult(op_d, X)
% 59.79/7.87
% 59.79/7.87 Lemma 70: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X) = mult(mult(op_d, op_d), X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.87 = { by lemma 42 }
% 59.79/7.87 ld(i(mult(op_d, op_d)), X)
% 59.79/7.87 = { by lemma 15 }
% 59.79/7.87 mult(mult(op_d, op_d), X)
% 59.79/7.87
% 59.79/7.87 Lemma 71: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87 = { by lemma 69 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, X))
% 59.79/7.87 = { by lemma 69 }
% 59.79/7.87 mult(op_d, mult(op_d, X))
% 59.79/7.87 = { by lemma 21 R->L }
% 59.79/7.87 mult(mult(op_d, op_d), X)
% 59.79/7.87 = { by lemma 70 R->L }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.87
% 59.79/7.87 Lemma 72: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.87 = { by lemma 71 R->L }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)))
% 59.79/7.87 = { by lemma 71 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87
% 59.79/7.87 Lemma 73: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X) = mult(mult(op_d, mult(op_d, op_d)), X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.87 = { by lemma 67 }
% 59.79/7.87 ld(i(mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.87 = { by lemma 15 }
% 59.79/7.87 mult(mult(op_d, mult(op_d, op_d)), X)
% 59.79/7.87
% 59.79/7.87 Lemma 74: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.87 = { by lemma 72 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87 = { by lemma 69 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, X))
% 59.79/7.87 = { by lemma 71 R->L }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, X)))
% 59.79/7.87 = { by lemma 69 }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, X)))
% 59.79/7.87 = { by lemma 69 }
% 59.79/7.87 mult(op_d, mult(op_d, mult(op_d, X)))
% 59.79/7.87 = { by axiom 10 (c07) }
% 59.79/7.87 mult(mult(op_d, mult(op_d, op_d)), X)
% 59.79/7.87 = { by lemma 73 R->L }
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.87
% 59.79/7.87 Lemma 75: ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)) = ld(mult(op_d, op_d), X).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87 = { by lemma 68 R->L }
% 59.79/7.87 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87 = { by axiom 3 (c02) R->L }
% 59.79/7.87 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))))
% 59.79/7.87 = { by lemma 74 }
% 59.79/7.87 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)))
% 59.79/7.87 = { by lemma 43 }
% 59.79/7.87 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, op_d), X)))
% 59.79/7.87 = { by axiom 5 (c01) }
% 59.79/7.87 ld(mult(op_d, op_d), X)
% 59.79/7.87
% 59.79/7.87 Lemma 76: ld(mult(op_d, mult(op_d, op_d)), X) = ld(mult(op_d, op_d), ld(op_d, X)).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, op_d)), X)
% 59.79/7.87 = { by axiom 3 (c02) R->L }
% 59.79/7.87 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)))
% 59.79/7.87 = { by lemma 75 }
% 59.79/7.87 ld(mult(op_d, op_d), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.87 = { by lemma 45 }
% 59.79/7.87 ld(mult(op_d, op_d), ld(op_d, X))
% 59.79/7.87
% 59.79/7.87 Lemma 77: ld(rd(X, ld(Y, Z)), Y) = ld(Y, rd(Z, ld(Y, X))).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(rd(X, ld(Y, Z)), Y)
% 59.79/7.87 = { by lemma 16 R->L }
% 59.79/7.87 ld(rd(X, mult(i(Y), Z)), Y)
% 59.79/7.87 = { by lemma 52 R->L }
% 59.79/7.87 mult(rd(mult(i(Y), Z), X), Y)
% 59.79/7.87 = { by lemma 48 R->L }
% 59.79/7.87 i(ld(rd(mult(i(Y), Z), X), i(Y)))
% 59.79/7.87 = { by axiom 7 (c03) R->L }
% 59.79/7.87 i(ld(rd(mult(i(Y), mult(rd(Z, mult(i(Y), X)), mult(i(Y), X))), X), i(Y)))
% 59.79/7.87 = { by lemma 49 }
% 59.79/7.87 i(ld(mult(i(Y), mult(rd(Z, mult(i(Y), X)), i(Y))), i(Y)))
% 59.79/7.87 = { by lemma 52 }
% 59.79/7.87 i(ld(mult(i(Y), ld(rd(mult(i(Y), X), Z), i(Y))), i(Y)))
% 59.79/7.87 = { by lemma 51 }
% 59.79/7.87 i(ld(rd(i(Y), ld(i(Y), rd(mult(i(Y), X), Z))), i(Y)))
% 59.79/7.87 = { by lemma 47 }
% 59.79/7.87 i(ld(i(Y), rd(mult(i(Y), X), Z)))
% 59.79/7.87 = { by lemma 63 }
% 59.79/7.87 mult(i(Y), rd(Z, mult(i(Y), X)))
% 59.79/7.87 = { by lemma 16 }
% 59.79/7.87 ld(Y, rd(Z, mult(i(Y), X)))
% 59.79/7.87 = { by lemma 16 }
% 59.79/7.87 ld(Y, rd(Z, ld(Y, X)))
% 59.79/7.87
% 59.79/7.87 Lemma 78: mult(X, rd(ld(X, Y), X)) = i(ld(Y, X)).
% 59.79/7.87 Proof:
% 59.79/7.87 mult(X, rd(ld(X, Y), X))
% 59.79/7.87 = { by lemma 50 R->L }
% 59.79/7.87 mult(X, ld(X, i(ld(Y, X))))
% 59.79/7.87 = { by axiom 5 (c01) }
% 59.79/7.87 i(ld(Y, X))
% 59.79/7.87
% 59.79/7.87 Lemma 79: mult(ld(X, mult(op_c, op_c)), Y) = ld(mult(X, mult(op_c, op_c)), Y).
% 59.79/7.87 Proof:
% 59.79/7.87 mult(ld(X, mult(op_c, op_c)), Y)
% 59.79/7.87 = { by lemma 33 R->L }
% 59.79/7.87 mult(ld(X, i(mult(op_c, op_c))), Y)
% 59.79/7.87 = { by lemma 57 }
% 59.79/7.87 ld(mult(X, mult(op_c, op_c)), Y)
% 59.79/7.87
% 59.79/7.87 Lemma 80: rd(mult(X, Y), ld(X, Y)) = mult(X, X).
% 59.79/7.87 Proof:
% 59.79/7.87 rd(mult(X, Y), ld(X, Y))
% 59.79/7.87 = { by axiom 5 (c01) R->L }
% 59.79/7.87 rd(mult(X, mult(X, ld(X, Y))), ld(X, Y))
% 59.79/7.87 = { by lemma 22 }
% 59.79/7.87 mult(X, X)
% 59.79/7.87
% 59.79/7.87 Lemma 81: rd(mult(X, Y), ld(X, Z)) = rd(X, ld(X, rd(Z, Y))).
% 59.79/7.87 Proof:
% 59.79/7.87 rd(mult(X, Y), ld(X, Z))
% 59.79/7.87 = { by axiom 7 (c03) R->L }
% 59.79/7.87 rd(mult(X, mult(rd(Y, Z), Z)), ld(X, Z))
% 59.79/7.87 = { by axiom 5 (c01) R->L }
% 59.79/7.87 rd(mult(X, mult(rd(Y, Z), mult(X, ld(X, Z)))), ld(X, Z))
% 59.79/7.87 = { by lemma 49 }
% 59.79/7.87 mult(X, mult(rd(Y, Z), X))
% 59.79/7.87 = { by lemma 52 }
% 59.79/7.87 mult(X, ld(rd(Z, Y), X))
% 59.79/7.87 = { by lemma 51 }
% 59.79/7.87 rd(X, ld(X, rd(Z, Y)))
% 59.79/7.87
% 59.79/7.87 Lemma 82: rd(ld(X, rd(Y, Z)), X) = rd(ld(X, Y), mult(X, Z)).
% 59.79/7.87 Proof:
% 59.79/7.87 rd(ld(X, rd(Y, Z)), X)
% 59.79/7.87 = { by lemma 35 R->L }
% 59.79/7.87 i(rd(X, ld(X, rd(Y, Z))))
% 59.79/7.87 = { by lemma 81 R->L }
% 59.79/7.87 i(rd(mult(X, Z), ld(X, Y)))
% 59.79/7.87 = { by lemma 35 }
% 59.79/7.87 rd(ld(X, Y), mult(X, Z))
% 59.79/7.87
% 59.79/7.87 Lemma 83: rd(X, ld(X, ld(Y, i(Y)))) = mult(mult(X, Y), mult(X, Y)).
% 59.79/7.87 Proof:
% 59.79/7.87 rd(X, ld(X, ld(Y, i(Y))))
% 59.79/7.87 = { by lemma 29 R->L }
% 59.79/7.87 rd(X, ld(X, rd(i(Y), Y)))
% 59.79/7.87 = { by lemma 81 R->L }
% 59.79/7.87 rd(mult(X, Y), ld(X, i(Y)))
% 59.79/7.87 = { by lemma 17 R->L }
% 59.79/7.87 rd(mult(X, Y), i(mult(X, Y)))
% 59.79/7.87 = { by lemma 23 }
% 59.79/7.87 mult(mult(X, Y), mult(X, Y))
% 59.79/7.87
% 59.79/7.87 Lemma 84: i(ld(X, mult(op_c, mult(op_c, op_c)))) = mult(X, op_c).
% 59.79/7.87 Proof:
% 59.79/7.87 i(ld(X, mult(op_c, mult(op_c, op_c))))
% 59.79/7.87 = { by lemma 18 R->L }
% 59.79/7.87 mult(X, i(mult(op_c, mult(op_c, op_c))))
% 59.79/7.87 = { by lemma 31 }
% 59.79/7.87 mult(X, op_c)
% 59.79/7.87
% 59.79/7.87 Lemma 85: i(ld(mult(op_c, mult(op_c, op_c)), X)) = ld(op_c, i(X)).
% 59.79/7.87 Proof:
% 59.79/7.87 i(ld(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.87 = { by lemma 66 }
% 59.79/7.87 i(mult(op_c, X))
% 59.79/7.87 = { by lemma 17 }
% 59.79/7.87 ld(op_c, i(X))
% 59.79/7.87
% 59.79/7.87 Lemma 86: ld(mult(op_c, op_c), ld(mult(op_c, op_c), X)) = X.
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_c, op_c), ld(mult(op_c, op_c), X))
% 59.79/7.87 = { by lemma 56 R->L }
% 59.79/7.87 mult(ld(mult(op_c, op_c), i(mult(op_c, op_c))), X)
% 59.79/7.87 = { by lemma 33 }
% 59.79/7.87 mult(ld(mult(op_c, op_c), mult(op_c, op_c)), X)
% 59.79/7.87 = { by lemma 19 R->L }
% 59.79/7.87 mult(mult(op_c, mult(op_c, mult(op_c, op_c))), X)
% 59.79/7.87 = { by axiom 9 (c10) }
% 59.79/7.87 mult(unit, X)
% 59.79/7.87 = { by axiom 2 (c06) }
% 59.79/7.87 X
% 59.79/7.87
% 59.79/7.87 Lemma 87: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X) = mult(op_d, mult(op_d, X)).
% 59.79/7.87 Proof:
% 59.79/7.87 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.88 = { by lemma 71 R->L }
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.88 = { by lemma 69 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, X))
% 59.79/7.88 = { by lemma 69 }
% 59.79/7.88 mult(op_d, mult(op_d, X))
% 59.79/7.88
% 59.79/7.88 Lemma 88: ld(mult(op_d, op_d), mult(op_d, mult(op_d, X))) = X.
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_d, op_d), mult(op_d, mult(op_d, X)))
% 59.79/7.88 = { by lemma 43 R->L }
% 59.79/7.88 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, X)))
% 59.79/7.88 = { by lemma 87 R->L }
% 59.79/7.88 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.88 = { by axiom 5 (c01) }
% 59.79/7.88 X
% 59.79/7.88
% 59.79/7.88 Lemma 89: ld(rd(X, Y), rd(rd(X, Y), Y)) = ld(X, rd(X, Y)).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(rd(X, Y), rd(rd(X, Y), Y))
% 59.79/7.88 = { by lemma 59 R->L }
% 59.79/7.88 ld(rd(X, Y), rd(i(Y), rd(Y, X)))
% 59.79/7.88 = { by lemma 52 R->L }
% 59.79/7.88 mult(rd(Y, X), rd(i(Y), rd(Y, X)))
% 59.79/7.88 = { by lemma 24 R->L }
% 59.79/7.88 mult(rd(Y, X), rd(ld(rd(Y, X), i(X)), rd(Y, X)))
% 59.79/7.88 = { by lemma 78 }
% 59.79/7.88 i(ld(i(X), rd(Y, X)))
% 59.79/7.88 = { by lemma 63 }
% 59.79/7.88 mult(i(X), rd(X, Y))
% 59.79/7.88 = { by lemma 16 }
% 59.79/7.88 ld(X, rd(X, Y))
% 59.79/7.88
% 59.79/7.88 Lemma 90: ld(mult(op_c, mult(op_c, op_c)), ld(mult(op_c, mult(op_c, op_c)), X)) = ld(mult(op_c, op_c), X).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_c, mult(op_c, op_c)), ld(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.88 = { by lemma 66 }
% 59.79/7.88 ld(mult(op_c, mult(op_c, op_c)), mult(op_c, X))
% 59.79/7.88 = { by lemma 66 }
% 59.79/7.88 mult(op_c, mult(op_c, X))
% 59.79/7.88 = { by lemma 21 R->L }
% 59.79/7.88 mult(mult(op_c, op_c), X)
% 59.79/7.88 = { by lemma 36 }
% 59.79/7.88 ld(mult(op_c, op_c), X)
% 59.79/7.88
% 59.79/7.88 Lemma 91: ld(mult(op_c, mult(op_c, op_c)), mult(op_c, X)) = ld(mult(op_c, op_c), X).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_c, mult(op_c, op_c)), mult(op_c, X))
% 59.79/7.88 = { by lemma 66 R->L }
% 59.79/7.88 ld(mult(op_c, mult(op_c, op_c)), ld(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.88 = { by lemma 90 }
% 59.79/7.88 ld(mult(op_c, op_c), X)
% 59.79/7.88
% 59.79/7.88 Lemma 92: mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))) = i(mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.88 Proof:
% 59.79/7.88 mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by axiom 3 (c02) R->L }
% 59.79/7.88 ld(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.88 = { by lemma 67 }
% 59.79/7.88 ld(op_d, i(mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 17 R->L }
% 59.79/7.88 i(mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.88
% 59.79/7.88 Lemma 93: mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X) = ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X).
% 59.79/7.88 Proof:
% 59.79/7.88 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.88 = { by lemma 92 }
% 59.79/7.88 mult(i(mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.88 = { by lemma 16 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.88
% 59.79/7.88 Lemma 94: ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X) = ld(mult(op_d, op_d), ld(mult(op_d, op_d), X)).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.88 = { by lemma 93 R->L }
% 59.79/7.88 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.88 = { by lemma 88 R->L }
% 59.79/7.88 mult(ld(mult(op_d, op_d), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.88 = { by lemma 42 }
% 59.79/7.88 mult(ld(mult(op_d, op_d), i(mult(op_d, op_d))), X)
% 59.79/7.88 = { by lemma 56 }
% 59.79/7.88 ld(mult(op_d, op_d), ld(mult(op_d, op_d), X))
% 59.79/7.88
% 59.79/7.88 Lemma 95: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), X)) = ld(op_d, X).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), X))
% 59.79/7.88 = { by lemma 69 }
% 59.79/7.88 mult(op_d, ld(mult(op_d, op_d), X))
% 59.79/7.88 = { by lemma 46 }
% 59.79/7.88 mult(op_d, ld(op_d, ld(op_d, X)))
% 59.79/7.88 = { by axiom 5 (c01) }
% 59.79/7.88 ld(op_d, X)
% 59.79/7.88
% 59.79/7.88 Lemma 96: ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X) = ld(mult(op_d, mult(op_d, op_d)), ld(op_d, X)).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.88 = { by lemma 94 }
% 59.79/7.88 ld(mult(op_d, op_d), ld(mult(op_d, op_d), X))
% 59.79/7.88 = { by lemma 75 R->L }
% 59.79/7.88 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), X)))
% 59.79/7.88 = { by lemma 95 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, op_d)), ld(op_d, X))
% 59.79/7.88
% 59.79/7.88 Lemma 97: mult(ld(X, Y), mult(ld(X, Y), X)) = ld(X, mult(Y, Y)).
% 59.79/7.88 Proof:
% 59.79/7.88 mult(ld(X, Y), mult(ld(X, Y), X))
% 59.79/7.88 = { by lemma 21 R->L }
% 59.79/7.88 mult(mult(ld(X, Y), ld(X, Y)), X)
% 59.79/7.88 = { by lemma 55 R->L }
% 59.79/7.88 ld(ld(ld(X, Y), i(ld(X, Y))), X)
% 59.79/7.88 = { by lemma 29 R->L }
% 59.79/7.88 ld(rd(i(ld(X, Y)), ld(X, Y)), X)
% 59.79/7.88 = { by lemma 77 }
% 59.79/7.88 ld(X, rd(Y, ld(X, i(ld(X, Y)))))
% 59.79/7.88 = { by lemma 54 }
% 59.79/7.88 ld(X, rd(Y, i(Y)))
% 59.79/7.88 = { by lemma 23 }
% 59.79/7.88 ld(X, mult(Y, Y))
% 59.79/7.88
% 59.79/7.88 Lemma 98: i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = mult(op_d, mult(op_d, op_d)).
% 59.79/7.88 Proof:
% 59.79/7.88 i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.88 = { by lemma 67 }
% 59.79/7.88 i(i(mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 14 }
% 59.79/7.88 mult(op_d, mult(op_d, op_d))
% 59.79/7.88
% 59.79/7.88 Lemma 99: rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)) = rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))).
% 59.79/7.88 Proof:
% 59.79/7.88 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))
% 59.79/7.88 = { by lemma 61 R->L }
% 59.79/7.88 rd(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.88 = { by lemma 98 }
% 59.79/7.88 rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))
% 59.79/7.88
% 59.79/7.88 Lemma 100: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X) = mult(op_d, mult(op_d, mult(op_d, X))).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.88 = { by lemma 74 R->L }
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.88 = { by lemma 87 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, X)))
% 59.79/7.88 = { by lemma 69 }
% 59.79/7.88 mult(op_d, mult(op_d, mult(op_d, X)))
% 59.79/7.88
% 59.79/7.88 Lemma 101: rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)).
% 59.79/7.88 Proof:
% 59.79/7.88 rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.88 = { by lemma 67 }
% 59.79/7.88 rd(mult(op_c, op_c), i(mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 61 }
% 59.79/7.88 rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))
% 59.79/7.88
% 59.79/7.88 Lemma 102: ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.88 = { by lemma 100 R->L }
% 59.79/7.88 ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 101 }
% 59.79/7.88 ld(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 73 }
% 59.79/7.88 ld(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(mult(op_d, mult(op_d, op_d)), mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 52 R->L }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), mult(mult(op_d, mult(op_d, op_d)), mult(op_d, mult(op_d, op_d))))
% 59.79/7.88 = { by lemma 23 R->L }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), rd(mult(op_d, mult(op_d, op_d)), i(mult(op_d, mult(op_d, op_d)))))
% 59.79/7.88 = { by axiom 7 (c03) R->L }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), rd(mult(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_c, op_c)), i(mult(op_d, mult(op_d, op_d)))))
% 59.79/7.88 = { by lemma 60 R->L }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), rd(mult(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_c, op_c)), ld(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_c, op_c))))
% 59.79/7.88 = { by lemma 80 }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), mult(rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.88 = { by lemma 52 }
% 59.79/7.88 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.88 = { by axiom 5 (c01) }
% 59.79/7.88 rd(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))
% 59.79/7.88 = { by lemma 101 R->L }
% 59.79/7.88 rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.88
% 59.79/7.88 Lemma 103: ld(rd(X, mult(op_c, op_c)), rd(mult(op_c, op_c), X)) = ld(X, i(X)).
% 59.79/7.88 Proof:
% 59.79/7.88 ld(rd(X, mult(op_c, op_c)), rd(mult(op_c, op_c), X))
% 59.79/7.88 = { by lemma 52 R->L }
% 59.79/7.88 mult(rd(mult(op_c, op_c), X), rd(mult(op_c, op_c), X))
% 59.79/7.88 = { by lemma 22 R->L }
% 59.79/7.88 rd(mult(rd(mult(op_c, op_c), X), mult(rd(mult(op_c, op_c), X), X)), X)
% 59.79/7.88 = { by axiom 7 (c03) }
% 59.79/7.88 rd(mult(rd(mult(op_c, op_c), X), mult(op_c, op_c)), X)
% 59.79/7.88 = { by lemma 52 }
% 59.79/7.88 rd(ld(rd(X, mult(op_c, op_c)), mult(op_c, op_c)), X)
% 59.79/7.88 = { by lemma 60 }
% 59.79/7.88 rd(i(X), X)
% 59.79/7.88 = { by lemma 29 }
% 59.79/7.88 ld(X, i(X))
% 59.79/7.88
% 59.79/7.88 Lemma 104: i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)) = ld(mult(op_d, mult(op_d, op_d)), i(X)).
% 59.79/7.88 Proof:
% 59.79/7.88 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X))
% 59.79/7.88 = { by lemma 73 }
% 59.79/7.88 i(mult(mult(op_d, mult(op_d, op_d)), X))
% 59.79/7.88 = { by lemma 17 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, op_d)), i(X))
% 59.79/7.88
% 59.79/7.88 Lemma 105: rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))) = ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)).
% 59.79/7.88 Proof:
% 59.79/7.88 rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))
% 59.79/7.88 = { by lemma 99 R->L }
% 59.79/7.88 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))
% 59.79/7.88 = { by lemma 35 R->L }
% 59.79/7.88 i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.88 = { by lemma 47 R->L }
% 59.79/7.88 i(ld(rd(mult(op_c, op_c), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by axiom 7 (c03) R->L }
% 59.79/7.88 i(ld(rd(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 102 R->L }
% 59.79/7.88 i(ld(rd(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 80 }
% 59.79/7.88 i(ld(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 52 }
% 59.79/7.88 i(ld(ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 103 }
% 59.79/7.88 i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 98 }
% 59.79/7.88 i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 100 }
% 59.79/7.88 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 104 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, op_d)), i(mult(op_c, op_c)))
% 59.79/7.88 = { by lemma 33 }
% 59.79/7.88 ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))
% 59.79/7.88
% 59.79/7.88 Lemma 106: rd(ld(mult(op_c, op_c), X), mult(op_c, op_c)) = ld(mult(op_c, op_c), mult(X, mult(op_c, op_c))).
% 59.79/7.88 Proof:
% 59.79/7.89 rd(ld(mult(op_c, op_c), X), mult(op_c, op_c))
% 59.79/7.89 = { by lemma 12 R->L }
% 59.79/7.89 rd(ld(mult(op_c, op_c), mult(X, mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_c, op_c))
% 59.79/7.89 = { by lemma 36 R->L }
% 59.79/7.89 rd(mult(mult(op_c, op_c), mult(X, mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_c, op_c))
% 59.79/7.89 = { by lemma 21 R->L }
% 59.79/7.89 rd(mult(mult(op_c, op_c), mult(X, mult(mult(op_c, op_c), mult(op_c, op_c)))), mult(op_c, op_c))
% 59.79/7.89 = { by lemma 49 }
% 59.79/7.89 mult(mult(op_c, op_c), mult(X, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 36 }
% 59.79/7.89 ld(mult(op_c, op_c), mult(X, mult(op_c, op_c)))
% 59.79/7.89
% 59.79/7.89 Lemma 107: i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))) = mult(op_d, mult(op_d, mult(op_d, op_d))).
% 59.79/7.89 Proof:
% 59.79/7.89 i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.89 = { by lemma 92 }
% 59.79/7.89 i(i(mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.89 = { by lemma 14 }
% 59.79/7.89 mult(op_d, mult(op_d, mult(op_d, op_d)))
% 59.79/7.89
% 59.79/7.89 Lemma 108: ld(mult(op_c, op_c), ld(mult(op_c, mult(op_c, op_c)), X)) = ld(op_c, X).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_c, op_c), ld(mult(op_c, mult(op_c, op_c)), X))
% 59.79/7.89 = { by lemma 66 }
% 59.79/7.89 ld(mult(op_c, op_c), mult(op_c, X))
% 59.79/7.89 = { by lemma 38 }
% 59.79/7.89 ld(op_c, ld(op_c, mult(op_c, X)))
% 59.79/7.89 = { by axiom 3 (c02) }
% 59.79/7.89 ld(op_c, X)
% 59.79/7.89
% 59.79/7.89 Lemma 109: ld(mult(X, mult(op_c, op_c)), ld(X, mult(op_c, op_c))) = ld(X, i(X)).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(X, mult(op_c, op_c)), ld(X, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 79 R->L }
% 59.79/7.89 mult(ld(X, mult(op_c, op_c)), ld(X, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 23 R->L }
% 59.79/7.89 rd(ld(X, mult(op_c, op_c)), i(ld(X, mult(op_c, op_c))))
% 59.79/7.89 = { by lemma 62 }
% 59.79/7.89 rd(ld(X, mult(op_c, op_c)), mult(X, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 16 R->L }
% 59.79/7.89 rd(mult(i(X), mult(op_c, op_c)), mult(X, mult(op_c, op_c)))
% 59.79/7.89 = { by axiom 8 (c08) R->L }
% 59.79/7.89 rd(mult(i(X), mult(i(X), mult(X, mult(op_c, op_c)))), mult(X, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 22 }
% 59.79/7.89 mult(i(X), i(X))
% 59.79/7.89 = { by axiom 6 (c09) R->L }
% 59.79/7.89 i(mult(X, X))
% 59.79/7.89 = { by lemma 17 }
% 59.79/7.89 ld(X, i(X))
% 59.79/7.89
% 59.79/7.89 Lemma 110: i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))) = mult(op_d, op_d).
% 59.79/7.89 Proof:
% 59.79/7.89 i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.89 = { by lemma 44 R->L }
% 59.79/7.89 i(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 17 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 40 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), op_d)
% 59.79/7.89 = { by lemma 69 }
% 59.79/7.89 mult(op_d, op_d)
% 59.79/7.89
% 59.79/7.89 Lemma 111: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X) = mult(mult(op_d, mult(op_d, mult(op_d, op_d))), X).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.89 = { by lemma 92 }
% 59.79/7.89 ld(i(mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.89 = { by lemma 15 }
% 59.79/7.89 mult(mult(op_d, mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.89
% 59.79/7.89 Lemma 112: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.89 = { by lemma 56 R->L }
% 59.79/7.89 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X)
% 59.79/7.89 = { by lemma 110 }
% 59.79/7.89 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_d)), X)
% 59.79/7.89 = { by lemma 87 }
% 59.79/7.89 mult(mult(op_d, mult(op_d, mult(op_d, op_d))), X)
% 59.79/7.89 = { by lemma 111 R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.89
% 59.79/7.89 Lemma 113: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c))).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))
% 59.79/7.89 = { by lemma 32 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(op_c))
% 59.79/7.89 = { by lemma 44 R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c))))
% 59.79/7.89 = { by lemma 17 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_d, op_c))))
% 59.79/7.89 = { by lemma 74 R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_d, op_c)))))
% 59.79/7.89 = { by lemma 72 R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c)))))
% 59.79/7.89 = { by lemma 71 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c))))
% 59.79/7.89 = { by lemma 112 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c)))
% 59.79/7.89
% 59.79/7.89 Lemma 114: ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c)) = ld(mult(op_d, mult(op_d, op_d)), op_c).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))
% 59.79/7.89 = { by lemma 93 R->L }
% 59.79/7.89 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))
% 59.79/7.89 = { by lemma 48 R->L }
% 59.79/7.89 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c))))
% 59.79/7.89 = { by lemma 113 R->L }
% 59.79/7.89 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))
% 59.79/7.89 = { by lemma 104 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, op_d)), i(mult(op_c, mult(op_c, op_c))))
% 59.79/7.89 = { by lemma 31 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, op_d)), op_c)
% 59.79/7.89
% 59.79/7.89 Lemma 115: mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))) = i(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d))))).
% 59.79/7.89 Proof:
% 59.79/7.89 mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.89 = { by lemma 92 }
% 59.79/7.89 mult(X, i(mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.89 = { by lemma 18 }
% 59.79/7.89 i(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.89
% 59.79/7.89 Lemma 116: i(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.89 Proof:
% 59.79/7.89 i(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.89 = { by lemma 92 }
% 59.79/7.89 i(ld(X, i(mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.89 = { by lemma 48 }
% 59.79/7.89 mult(X, mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.89
% 59.79/7.89 Lemma 117: ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), Y) = mult(ld(X, mult(op_d, op_d)), Y).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), Y)
% 59.79/7.89 = { by lemma 57 R->L }
% 59.79/7.89 mult(ld(X, i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), Y)
% 59.79/7.89 = { by lemma 110 }
% 59.79/7.89 mult(ld(X, mult(op_d, op_d)), Y)
% 59.79/7.89
% 59.79/7.89 Lemma 118: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(op_d, X)).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.89 = { by axiom 3 (c02) R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)))
% 59.79/7.89 = { by lemma 71 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.89 = { by lemma 45 }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(op_d, X))
% 59.79/7.89
% 59.79/7.89 Lemma 119: rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, op_d)).
% 59.79/7.89 Proof:
% 59.79/7.89 rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.89 = { by lemma 12 R->L }
% 59.79/7.89 rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.89 = { by lemma 39 R->L }
% 59.79/7.89 rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.89 = { by lemma 69 }
% 59.79/7.89 rd(mult(op_d, mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.89 = { by lemma 49 }
% 59.79/7.89 mult(op_d, mult(X, op_d))
% 59.79/7.89 = { by lemma 69 R->L }
% 59.79/7.89 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, op_d))
% 59.79/7.89
% 59.79/7.89 Lemma 120: i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)) = ld(op_d, i(X)).
% 59.79/7.89 Proof:
% 59.79/7.89 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.89 = { by lemma 69 }
% 59.79/7.89 i(mult(op_d, X))
% 59.79/7.89 = { by lemma 17 }
% 59.79/7.89 ld(op_d, i(X))
% 59.79/7.89
% 59.79/7.89 Lemma 121: rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)) = ld(op_d, ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))).
% 59.79/7.89 Proof:
% 59.79/7.89 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.89 = { by lemma 35 R->L }
% 59.79/7.89 i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 119 }
% 59.79/7.89 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, op_d)))
% 59.79/7.89 = { by lemma 120 }
% 59.79/7.89 ld(op_d, i(mult(X, op_d)))
% 59.79/7.89 = { by lemma 17 }
% 59.79/7.89 ld(op_d, ld(X, i(op_d)))
% 59.79/7.89 = { by lemma 41 R->L }
% 59.79/7.89 ld(op_d, ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89
% 59.79/7.89 Lemma 122: ld(op_d, ld(ld(mult(op_d, op_d), X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))) = rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, X)).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(op_d, ld(ld(mult(op_d, op_d), X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 121 R->L }
% 59.79/7.89 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), X)))
% 59.79/7.89 = { by lemma 95 }
% 59.79/7.89 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, X))
% 59.79/7.89
% 59.79/7.89 Lemma 123: ld(op_d, mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))) = rd(ld(op_d, mult(X, Y)), mult(op_d, Y)).
% 59.79/7.89 Proof:
% 59.79/7.89 ld(op_d, mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 45 R->L }
% 59.79/7.89 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.89 = { by lemma 49 R->L }
% 59.79/7.89 rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, Y)))), mult(op_d, Y))
% 59.79/7.89 = { by lemma 44 }
% 59.79/7.89 rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, Y)), mult(op_d, Y))
% 59.79/7.89 = { by lemma 45 }
% 59.79/7.89 rd(ld(op_d, mult(X, Y)), mult(op_d, Y))
% 59.79/7.89
% 59.79/7.90 Lemma 124: ld(op_d, ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))) = rd(ld(op_d, ld(X, Y)), mult(op_d, Y)).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(op_d, ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.90 = { by lemma 16 R->L }
% 59.79/7.90 ld(op_d, mult(i(X), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.90 = { by lemma 123 }
% 59.79/7.90 rd(ld(op_d, mult(i(X), Y)), mult(op_d, Y))
% 59.79/7.90 = { by lemma 16 }
% 59.79/7.90 rd(ld(op_d, ld(X, Y)), mult(op_d, Y))
% 59.79/7.90
% 59.79/7.90 Lemma 125: ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))) = mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 70 }
% 59.79/7.90 ld(mult(mult(op_d, op_d), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 109 }
% 59.79/7.90 ld(mult(op_d, op_d), i(mult(op_d, op_d)))
% 59.79/7.90 = { by lemma 42 R->L }
% 59.79/7.90 ld(mult(op_d, op_d), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.90 = { by lemma 88 }
% 59.79/7.90 mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.90
% 59.79/7.90 Lemma 126: ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)) = ld(op_d, X).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.90 = { by lemma 69 }
% 59.79/7.90 ld(mult(op_d, op_d), mult(op_d, X))
% 59.79/7.90 = { by lemma 46 }
% 59.79/7.90 ld(op_d, ld(op_d, mult(op_d, X)))
% 59.79/7.90 = { by axiom 3 (c02) }
% 59.79/7.90 ld(op_d, X)
% 59.79/7.90
% 59.79/7.90 Lemma 127: rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))) = mult(op_c, op_c).
% 59.79/7.90 Proof:
% 59.79/7.90 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 105 R->L }
% 59.79/7.90 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 99 R->L }
% 59.79/7.90 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 35 R->L }
% 59.79/7.90 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 27 }
% 59.79/7.90 rd(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.90 = { by lemma 54 R->L }
% 59.79/7.90 rd(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.90 = { by lemma 17 R->L }
% 59.79/7.90 rd(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.90 = { by lemma 27 R->L }
% 59.79/7.90 rd(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 12 R->L }
% 59.79/7.90 rd(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, mult(op_c, mult(op_c, op_c))))), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 20 }
% 59.79/7.90 rd(mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 49 }
% 59.79/7.90 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 102 }
% 59.79/7.90 mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 52 }
% 59.79/7.90 ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 99 }
% 59.79/7.90 ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))), mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 105 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 52 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 103 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 98 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 100 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 67 }
% 59.79/7.90 ld(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), i(mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 17 R->L }
% 59.79/7.90 i(mult(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 15 R->L }
% 59.79/7.90 i(ld(i(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 78 R->L }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), rd(ld(mult(op_d, mult(op_d, op_d)), i(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 54 }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), rd(i(mult(op_c, op_c)), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 26 R->L }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), rd(i(mult(op_d, mult(op_d, op_d))), i(i(mult(op_c, op_c)))))
% 59.79/7.90 = { by lemma 14 }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), rd(i(mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 67 R->L }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 73 R->L }
% 59.79/7.90 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 99 }
% 59.79/7.90 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 105 }
% 59.79/7.90 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 73 }
% 59.79/7.90 mult(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))
% 59.79/7.90 = { by axiom 5 (c01) }
% 59.79/7.90 mult(op_c, op_c)
% 59.79/7.90
% 59.79/7.90 Lemma 128: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)) = ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))
% 59.79/7.90 = { by lemma 127 R->L }
% 59.79/7.90 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 89 R->L }
% 59.79/7.90 ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 127 }
% 59.79/7.90 ld(mult(op_c, op_c), rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 127 }
% 59.79/7.90 ld(mult(op_c, op_c), rd(mult(op_c, op_c), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 25 }
% 59.79/7.90 ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))
% 59.79/7.90
% 59.79/7.90 Lemma 129: rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))) = mult(op_c, op_c).
% 59.79/7.90 Proof:
% 59.79/7.90 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 122 R->L }
% 59.79/7.90 ld(op_d, ld(ld(mult(op_d, op_d), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.90 = { by lemma 124 }
% 59.79/7.90 rd(ld(op_d, ld(ld(mult(op_d, op_d), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 43 R->L }
% 59.79/7.90 rd(ld(op_d, ld(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 79 R->L }
% 59.79/7.90 rd(ld(op_d, mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 125 R->L }
% 59.79/7.90 rd(ld(op_d, mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by axiom 5 (c01) }
% 59.79/7.90 rd(ld(op_d, ld(mult(op_d, op_d), mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 126 R->L }
% 59.79/7.90 rd(ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), mult(op_c, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 95 }
% 59.79/7.90 rd(ld(mult(op_d, op_d), ld(op_d, mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 76 R->L }
% 59.79/7.90 rd(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.90 = { by lemma 26 R->L }
% 59.79/7.90 rd(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 98 }
% 59.79/7.90 rd(mult(op_d, mult(op_d, op_d)), i(ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.90 = { by lemma 62 }
% 59.79/7.90 rd(mult(op_d, mult(op_d, op_d)), mult(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 73 R->L }
% 59.79/7.90 rd(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))
% 59.79/7.90 = { by lemma 128 }
% 59.79/7.90 rd(mult(op_d, mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))
% 59.79/7.90 = { by lemma 25 }
% 59.79/7.90 mult(op_c, op_c)
% 59.79/7.90
% 59.79/7.90 Lemma 130: ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = ld(op_d, mult(op_c, op_c)).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 129 R->L }
% 59.79/7.90 ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 47 }
% 59.79/7.90 ld(op_d, mult(op_c, op_c))
% 59.79/7.90
% 59.79/7.90 Lemma 131: ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = i(mult(X, op_d)).
% 59.79/7.90 Proof:
% 59.79/7.90 ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.90 = { by lemma 41 }
% 59.79/7.90 ld(X, i(op_d))
% 59.79/7.90 = { by lemma 17 R->L }
% 59.79/7.91 i(mult(X, op_d))
% 59.79/7.91
% 59.79/7.91 Lemma 132: ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.91 = { by lemma 127 R->L }
% 59.79/7.91 ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.91 = { by lemma 47 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))
% 59.79/7.91
% 59.79/7.91 Lemma 133: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)) = ld(mult(op_c, op_c), mult(op_d, op_d)).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 71 R->L }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 118 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(op_d, mult(op_c, op_c))))
% 59.79/7.91 = { by lemma 74 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(op_d, mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 130 R->L }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.91 = { by lemma 38 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(op_c, ld(op_c, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.91 = { by lemma 131 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(op_c, i(mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 85 R->L }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 86 R->L }
% 59.79/7.91 ld(ld(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 132 }
% 59.79/7.91 ld(ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 68 R->L }
% 59.79/7.91 ld(ld(mult(op_c, op_c), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 106 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 25 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 74 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 19 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, mult(op_c, mult(op_c, op_c)))))), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 28 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 40 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), op_d)), mult(op_c, op_c)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 82 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), op_d)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 36 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), op_d)), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 91 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))), i(ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))))
% 59.79/7.91 = { by lemma 24 }
% 59.79/7.91 i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.91 = { by lemma 64 }
% 59.79/7.91 ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.91 = { by lemma 110 }
% 59.79/7.91 ld(mult(op_c, op_c), mult(op_d, op_d))
% 59.79/7.91
% 59.79/7.91 Lemma 134: ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))) = ld(mult(op_d, op_d), mult(op_c, op_c)).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.91 = { by lemma 42 }
% 59.79/7.91 ld(mult(op_c, op_c), i(mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 64 R->L }
% 59.79/7.91 i(ld(mult(op_c, op_c), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 133 R->L }
% 59.79/7.91 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 62 }
% 59.79/7.91 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 43 }
% 59.79/7.91 ld(mult(op_d, op_d), mult(op_c, op_c))
% 59.79/7.91
% 59.79/7.91 Lemma 135: ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))) = mult(op_d, mult(op_d, mult(op_d, op_d))).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 133 R->L }
% 59.79/7.91 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 134 }
% 59.79/7.91 ld(ld(mult(op_d, op_d), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 43 R->L }
% 59.79/7.91 ld(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))
% 59.79/7.91 = { by lemma 109 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.91 = { by lemma 110 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_d))
% 59.79/7.91 = { by lemma 87 }
% 59.79/7.91 mult(op_d, mult(op_d, mult(op_d, op_d)))
% 59.79/7.91
% 59.79/7.91 Lemma 136: ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))) = ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.91 = { by lemma 92 }
% 59.79/7.91 ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.91 = { by lemma 53 R->L }
% 59.79/7.91 ld(mult(op_c, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_d)), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 94 }
% 59.79/7.91 ld(mult(op_c, op_c), rd(ld(mult(op_d, op_d), ld(mult(op_d, op_d), mult(op_d, op_d))), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 19 R->L }
% 59.79/7.91 ld(mult(op_c, op_c), rd(ld(mult(op_d, op_d), mult(op_c, mult(op_c, mult(op_c, op_c)))), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 28 }
% 59.79/7.91 ld(mult(op_c, op_c), rd(i(mult(op_d, op_d)), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 42 R->L }
% 59.79/7.91 ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_d)))
% 59.79/7.91 = { by lemma 86 R->L }
% 59.79/7.91 ld(mult(op_c, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, op_d)))))
% 59.79/7.91 = { by lemma 77 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 36 R->L }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 42 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_c, op_c), i(mult(op_d, op_d)))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 18 }
% 59.79/7.91 ld(rd(ld(mult(op_c, op_c), mult(op_d, op_d)), i(ld(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 23 }
% 59.79/7.91 ld(mult(ld(mult(op_c, op_c), mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, op_d))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 117 R->L }
% 59.79/7.91 ld(ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 36 }
% 59.79/7.91 ld(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), mult(op_c, op_c))
% 59.79/7.91 = { by lemma 135 }
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))
% 59.79/7.91
% 59.79/7.91 Lemma 137: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(X)) = i(ld(op_d, X)).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(X))
% 59.79/7.91 = { by lemma 17 R->L }
% 59.79/7.91 i(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X))
% 59.79/7.91 = { by lemma 45 }
% 59.79/7.91 i(ld(op_d, X))
% 59.79/7.91
% 59.79/7.91 Lemma 138: ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))) = ld(mult(op_d, op_c), i(mult(op_d, op_c))).
% 59.79/7.91 Proof:
% 59.79/7.91 ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.91 = { by lemma 36 R->L }
% 59.79/7.91 ld(op_d, mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.91 = { by lemma 123 }
% 59.79/7.91 rd(ld(op_d, mult(mult(op_c, op_c), op_c)), mult(op_d, op_c))
% 59.79/7.91 = { by lemma 36 }
% 59.79/7.91 rd(ld(op_d, ld(mult(op_c, op_c), op_c)), mult(op_d, op_c))
% 59.79/7.91 = { by lemma 90 R->L }
% 59.79/7.92 rd(ld(op_d, ld(mult(op_c, mult(op_c, op_c)), ld(mult(op_c, mult(op_c, op_c)), op_c))), mult(op_d, op_c))
% 59.79/7.92 = { by lemma 66 }
% 59.79/7.92 rd(ld(op_d, ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_c))), mult(op_d, op_c))
% 59.79/7.92 = { by lemma 66 }
% 59.79/7.92 rd(ld(op_d, mult(op_c, mult(op_c, op_c))), mult(op_d, op_c))
% 59.79/7.92 = { by lemma 65 }
% 59.79/7.92 rd(i(mult(op_d, op_c)), mult(op_d, op_c))
% 59.79/7.92 = { by lemma 29 }
% 59.79/7.92 ld(mult(op_d, op_c), i(mult(op_d, op_c)))
% 59.79/7.92
% 59.79/7.92 Lemma 139: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))) = mult(mult(op_d, op_c), mult(op_d, op_c)).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d)))
% 59.79/7.92 = { by lemma 91 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), op_d))
% 59.79/7.92 = { by lemma 36 R->L }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), op_d))
% 59.79/7.92 = { by lemma 119 R->L }
% 59.79/7.92 rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.92 = { by lemma 50 R->L }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.92 = { by lemma 137 }
% 59.79/7.92 i(ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.92 = { by lemma 138 }
% 59.79/7.92 i(ld(mult(op_d, op_c), i(mult(op_d, op_c))))
% 59.79/7.92 = { by lemma 48 }
% 59.79/7.92 mult(mult(op_d, op_c), mult(op_d, op_c))
% 59.79/7.92
% 59.79/7.92 Lemma 140: mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, op_d)), Y) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_d, Y))).
% 59.79/7.92 Proof:
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, op_d)), Y)
% 59.79/7.92 = { by lemma 69 }
% 59.79/7.92 mult(mult(op_d, mult(X, op_d)), Y)
% 59.79/7.92 = { by lemma 49 R->L }
% 59.79/7.92 mult(rd(mult(op_d, mult(X, mult(op_d, Y))), Y), Y)
% 59.79/7.92 = { by lemma 69 R->L }
% 59.79/7.92 mult(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_d, Y))), Y), Y)
% 59.79/7.92 = { by axiom 7 (c03) }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(X, mult(op_d, Y)))
% 59.79/7.92
% 59.79/7.92 Lemma 141: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X) = ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.92 = { by axiom 5 (c01) R->L }
% 59.79/7.92 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)))
% 59.79/7.92 = { by lemma 71 }
% 59.79/7.92 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.92 = { by lemma 45 }
% 59.79/7.92 ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.92
% 59.79/7.92 Lemma 142: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, op_d)), X)) = ld(mult(op_d, op_d), X).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, op_d)), X))
% 59.79/7.92 = { by lemma 141 }
% 59.79/7.92 ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, op_d)), X)))
% 59.79/7.92 = { by lemma 68 R->L }
% 59.79/7.92 ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)))
% 59.79/7.92 = { by axiom 5 (c01) R->L }
% 59.79/7.92 ld(op_d, mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)))))
% 59.79/7.92 = { by lemma 74 }
% 59.79/7.92 ld(op_d, mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X))))
% 59.79/7.92 = { by lemma 45 }
% 59.79/7.92 ld(op_d, ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X))))
% 59.79/7.92 = { by axiom 3 (c02) }
% 59.79/7.92 ld(op_d, ld(op_d, X))
% 59.79/7.92 = { by lemma 46 R->L }
% 59.79/7.92 ld(mult(op_d, op_d), X)
% 59.79/7.92
% 59.79/7.92 Lemma 143: mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))) = ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))).
% 59.79/7.92 Proof:
% 59.79/7.92 mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.92 = { by lemma 21 R->L }
% 59.79/7.92 mult(mult(mult(op_d, op_c), mult(op_d, op_c)), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.92 = { by lemma 139 R->L }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.92 = { by lemma 91 }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), op_d)), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.92 = { by lemma 36 R->L }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), op_d)), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.92 = { by lemma 140 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.92 = { by lemma 36 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.92 = { by lemma 136 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))
% 59.79/7.92 = { by lemma 96 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, op_d)), ld(op_d, mult(op_c, op_c))))
% 59.79/7.92 = { by lemma 142 }
% 59.79/7.92 ld(mult(op_d, op_d), ld(op_d, mult(op_c, op_c)))
% 59.79/7.92 = { by lemma 76 R->L }
% 59.79/7.92 ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))
% 59.79/7.92 = { by lemma 132 R->L }
% 59.79/7.92 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.92
% 59.79/7.92 Lemma 144: ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))) = mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.92 = { by lemma 143 R->L }
% 59.79/7.92 ld(mult(op_d, op_c), mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.92 = { by axiom 3 (c02) }
% 59.79/7.92 mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.92
% 59.79/7.92 Lemma 145: ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, X))))) = X.
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, X)))))
% 59.79/7.92 = { by lemma 94 }
% 59.79/7.92 ld(mult(op_d, op_d), ld(mult(op_d, op_d), mult(op_d, mult(op_d, mult(op_d, mult(op_d, X))))))
% 59.79/7.92 = { by lemma 88 }
% 59.79/7.92 ld(mult(op_d, op_d), mult(op_d, mult(op_d, X)))
% 59.79/7.92 = { by lemma 88 }
% 59.79/7.92 X
% 59.79/7.92
% 59.79/7.92 Lemma 146: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X) = ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X)).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), X)
% 59.79/7.92 = { by lemma 69 }
% 59.79/7.92 mult(op_d, X)
% 59.79/7.92 = { by lemma 145 R->L }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.92 = { by lemma 92 }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.92 = { by lemma 56 }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), X))
% 59.79/7.92
% 59.79/7.92 Lemma 147: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, X))) = mult(mult(op_d, op_c), mult(mult(op_d, op_c), X)).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, X)))
% 59.79/7.92 = { by lemma 36 R->L }
% 59.79/7.92 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), mult(op_d, X)))
% 59.79/7.92 = { by lemma 140 R->L }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), op_d)), X)
% 59.79/7.92 = { by lemma 36 }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), op_d)), X)
% 59.79/7.92 = { by lemma 91 R->L }
% 59.79/7.92 mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))), X)
% 59.79/7.92 = { by lemma 139 }
% 59.79/7.92 mult(mult(mult(op_d, op_c), mult(op_d, op_c)), X)
% 59.79/7.92 = { by lemma 21 }
% 59.79/7.92 mult(mult(op_d, op_c), mult(mult(op_d, op_c), X))
% 59.79/7.92
% 59.79/7.92 Lemma 148: ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))) = rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))).
% 59.79/7.92 Proof:
% 59.79/7.92 ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.92 = { by lemma 134 }
% 59.79/7.92 ld(mult(op_d, op_d), mult(op_c, op_c))
% 59.79/7.92 = { by lemma 46 }
% 59.79/7.92 ld(op_d, ld(op_d, mult(op_c, op_c)))
% 59.79/7.92 = { by lemma 45 R->L }
% 59.79/7.92 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c)))
% 59.79/7.92 = { by lemma 48 R->L }
% 59.79/7.92 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(ld(op_d, mult(op_c, op_c)))))
% 59.79/7.92 = { by lemma 47 R->L }
% 59.79/7.92 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.92 = { by lemma 50 }
% 59.79/7.92 i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.93 = { by lemma 35 }
% 59.79/7.93 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c)))))
% 59.79/7.93 = { by lemma 129 }
% 59.79/7.93 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 59.79/7.93 = { by lemma 121 }
% 59.79/7.93 ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.93 = { by lemma 138 }
% 59.79/7.93 ld(mult(op_d, op_c), i(mult(op_d, op_c)))
% 59.79/7.93 = { by lemma 17 R->L }
% 59.79/7.93 i(mult(mult(op_d, op_c), mult(op_d, op_c)))
% 59.79/7.93 = { by lemma 34 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(mult(op_d, op_c), mult(op_d, op_c)), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 21 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 59.79/7.93 = { by lemma 143 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.93 = { by lemma 67 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 64 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 128 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))))
% 59.79/7.93 = { by lemma 74 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c))))))
% 59.79/7.93 = { by lemma 146 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 93 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 125 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 93 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 125 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(mult(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))), mult(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 97 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(ld(mult(op_d, op_d), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 79 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(mult(op_d, op_d), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_c, op_c)))))))
% 59.79/7.93 = { by lemma 109 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), i(mult(op_d, op_d)))))))
% 59.79/7.93 = { by lemma 42 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), ld(mult(op_d, op_d), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.93 = { by lemma 88 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.93 = { by lemma 116 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 79 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 43 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_d, op_d), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 134 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 135 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 36 R->L }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 117 }
% 59.79/7.93 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(ld(mult(op_c, op_c), mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 59.79/7.93 = { by lemma 97 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 135 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 111 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 135 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 111 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 21 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.94 = { by lemma 55 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.94 = { by lemma 92 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.94 = { by lemma 145 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.94 = { by lemma 42 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(mult(op_c, op_c), i(mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 64 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, i(ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 120 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 147 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(mult(mult(op_d, op_c), mult(mult(op_d, op_c), op_d)))))
% 59.79/7.94 = { by lemma 17 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), i(mult(mult(op_d, op_c), op_d)))))
% 59.79/7.94 = { by lemma 17 }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, op_c), i(op_d)))))
% 59.79/7.94 = { by lemma 41 R->L }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by axiom 5 (c01) }
% 59.79/7.94 rd(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.94 = { by lemma 81 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 145 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 59.79/7.94 = { by lemma 25 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.94
% 59.79/7.94 Lemma 149: ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c)).
% 59.79/7.94 Proof:
% 59.79/7.94 ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 148 }
% 59.79/7.94 ld(mult(op_d, op_c), rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 35 R->L }
% 59.79/7.94 ld(mult(op_d, op_c), i(rd(ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))))
% 59.79/7.94 = { by lemma 50 R->L }
% 59.79/7.94 ld(mult(op_d, op_c), i(ld(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))))))
% 59.79/7.94 = { by lemma 54 }
% 59.79/7.94 i(i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))))
% 59.79/7.94 = { by lemma 14 }
% 59.79/7.94 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))
% 59.79/7.94
% 59.79/7.94 Lemma 150: rd(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))) = mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.94 Proof:
% 59.79/7.94 rd(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.94 = { by lemma 144 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 132 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c))))
% 59.79/7.94 = { by lemma 105 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))))
% 59.79/7.94 = { by lemma 99 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))))
% 59.79/7.94 = { by lemma 35 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), i(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 59.79/7.94 = { by lemma 53 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 102 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(rd(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 35 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(i(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 24 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), mult(op_d, mult(op_d, op_d))), i(mult(op_d, mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 67 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.94 = { by lemma 53 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), i(rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 35 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, op_d)), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)))))
% 59.79/7.94 = { by lemma 99 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, op_d)), rd(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 105 }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, op_c)))))
% 59.79/7.94 = { by lemma 51 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(mult(op_d, mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.94 = { by lemma 73 R->L }
% 59.79/7.94 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.95 = { by lemma 36 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.95 = { by lemma 73 }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(mult(op_d, mult(op_d, op_d)), mult(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))
% 59.79/7.95 = { by lemma 49 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(mult(op_d, mult(op_d, op_d)), mult(mult(op_c, op_c), mult(mult(op_d, mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 67 }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(mult(op_d, mult(op_d, op_d)), mult(mult(op_c, op_c), mult(mult(op_d, mult(op_d, op_d)), i(mult(op_d, mult(op_d, op_d)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 20 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(mult(mult(op_d, mult(op_d, op_d)), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 73 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 12 }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 22 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(mult(op_c, mult(op_c, op_c)), op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 82 }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), op_c))))
% 59.79/7.95 = { by lemma 84 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))))))
% 59.79/7.95 = { by lemma 23 }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 15 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 14 R->L }
% 59.79/7.95 rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))), i(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))))
% 59.79/7.95 = { by lemma 83 }
% 59.79/7.95 mult(mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 18 }
% 59.79/7.95 mult(mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 18 }
% 59.79/7.95 mult(i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 16 }
% 59.79/7.95 ld(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 113 }
% 59.79/7.95 ld(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c)))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 58 R->L }
% 59.79/7.95 ld(rd(i(mult(op_d, op_c)), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 115 }
% 59.79/7.95 ld(rd(i(mult(op_d, op_c)), i(ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 26 }
% 59.79/7.95 ld(rd(ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 50 R->L }
% 59.79/7.95 ld(ld(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c)))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 149 R->L }
% 59.79/7.95 ld(ld(mult(op_d, op_c), i(ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 54 }
% 59.79/7.95 ld(i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 64 }
% 59.79/7.95 ld(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 110 }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), i(ld(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 18 R->L }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 59.79/7.95 = { by lemma 84 }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_d, op_c), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), op_c)))
% 59.79/7.95 = { by lemma 68 }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, op_d)), op_c)))
% 59.79/7.95 = { by lemma 114 R->L }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))))
% 59.79/7.95 = { by lemma 51 }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), rd(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.95 = { by lemma 148 R->L }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 36 R->L }
% 59.79/7.95 ld(ld(mult(op_c, op_c), mult(op_d, op_d)), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 110 R->L }
% 59.79/7.95 ld(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 55 }
% 59.79/7.95 mult(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 59.79/7.95 = { by lemma 83 R->L }
% 59.79/7.95 rd(mult(op_c, op_c), ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 59.79/7.95 = { by lemma 110 }
% 59.79/7.95 rd(mult(op_c, op_c), ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_d))))
% 59.79/7.95 = { by lemma 87 }
% 59.79/7.95 rd(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.95 = { by lemma 36 R->L }
% 59.79/7.95 rd(mult(op_c, op_c), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.95 = { by lemma 33 R->L }
% 59.79/7.95 rd(i(mult(op_c, op_c)), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 59.79/7.95 = { by lemma 58 }
% 59.79/7.95 ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_c, op_c))))
% 59.79/7.95 = { by lemma 33 }
% 59.79/7.95 ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))
% 59.79/7.95 = { by lemma 136 R->L }
% 59.79/7.95 ld(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 59.79/7.95 = { by lemma 86 }
% 59.79/7.95 mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.95
% 59.79/7.95 Lemma 151: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)) = mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))).
% 59.79/7.95 Proof:
% 59.79/7.95 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))
% 59.79/7.95 = { by lemma 150 R->L }
% 59.79/7.95 ld(rd(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, op_c))
% 59.79/7.95 = { by lemma 47 }
% 59.79/7.95 mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))
% 59.79/7.95
% 59.79/7.95 Lemma 152: ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), Y) = mult(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), Y).
% 59.79/7.95 Proof:
% 59.79/7.95 ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), Y)
% 59.79/7.95 = { by lemma 115 }
% 59.79/7.95 ld(i(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d))))), Y)
% 59.79/7.95 = { by lemma 15 }
% 59.79/7.95 mult(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), Y)
% 59.79/7.95
% 59.79/7.95 Lemma 153: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X) = ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), X)).
% 59.79/7.95 Proof:
% 59.79/7.95 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 59.79/7.95 = { by lemma 73 }
% 59.79/7.95 mult(mult(op_d, mult(op_d, op_d)), X)
% 59.79/7.95 = { by axiom 5 (c01) R->L }
% 59.79/7.95 mult(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.95 = { by lemma 100 }
% 59.79/7.95 mult(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.95 = { by lemma 68 }
% 59.79/7.95 mult(ld(mult(op_d, mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 59.79/7.95 = { by lemma 67 }
% 59.79/7.95 mult(ld(mult(op_d, mult(op_d, op_d)), i(mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.95 = { by lemma 56 }
% 59.79/7.95 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), X))
% 59.79/7.95
% 59.79/7.95 Lemma 154: mult(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), Y) = ld(mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), Y).
% 59.79/7.95 Proof:
% 59.79/7.95 mult(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), Y)
% 59.79/7.95 = { by lemma 92 }
% 59.79/7.95 mult(ld(X, i(mult(op_d, mult(op_d, mult(op_d, op_d))))), Y)
% 59.79/7.95 = { by lemma 57 }
% 59.79/7.95 ld(mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), Y)
% 59.79/7.95
% 59.79/7.95 Lemma 155: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X)) = ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X).
% 59.79/7.95 Proof:
% 59.79/7.95 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), X))
% 59.79/7.95 = { by lemma 74 R->L }
% 59.79/7.95 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)))
% 59.79/7.95 = { by lemma 71 }
% 59.79/7.95 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X))
% 59.79/7.95 = { by lemma 112 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), X)
% 59.79/7.96
% 59.79/7.96 Lemma 156: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c))) = ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, op_c))).
% 59.79/7.96 Proof:
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c)))
% 59.79/7.96 = { by lemma 155 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))
% 59.79/7.96 = { by lemma 113 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c))))
% 59.79/7.96 = { by lemma 155 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(op_d, op_c)))))
% 59.79/7.96 = { by lemma 71 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(op_d, op_c))))
% 59.79/7.96 = { by lemma 74 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c)))))
% 59.79/7.96 = { by lemma 72 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c)))))
% 59.79/7.96 = { by lemma 74 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c))))
% 59.79/7.96 = { by lemma 153 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, op_c)))))
% 59.79/7.96 = { by lemma 71 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_d, op_c))))))
% 59.79/7.96 = { by lemma 75 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_d, op_c)))))
% 59.79/7.96 = { by lemma 126 }
% 59.79/7.96 ld(mult(op_d, mult(op_d, op_d)), ld(op_d, i(mult(op_d, op_c))))
% 59.79/7.96 = { by lemma 96 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, op_c)))
% 59.79/7.96
% 59.79/7.96 Lemma 157: ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)) = ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d)).
% 59.79/7.96 Proof:
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c))
% 59.79/7.96 = { by lemma 129 R->L }
% 59.79/7.96 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))))
% 59.79/7.96 = { by lemma 89 R->L }
% 59.79/7.96 ld(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))), rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))), ld(op_d, mult(op_c, op_c))))
% 59.79/7.96 = { by lemma 129 }
% 59.79/7.96 ld(mult(op_c, op_c), rd(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, mult(op_c, op_c))), ld(op_d, mult(op_c, op_c))))
% 59.79/7.96 = { by lemma 129 }
% 59.79/7.96 ld(mult(op_c, op_c), rd(mult(op_c, op_c), ld(op_d, mult(op_c, op_c))))
% 59.79/7.96 = { by lemma 25 }
% 59.79/7.96 ld(mult(op_c, op_c), op_d)
% 59.79/7.96 = { by lemma 91 R->L }
% 59.79/7.96 ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d))
% 59.79/7.96
% 59.79/7.96 Lemma 158: rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c)) = ld(op_d, i(mult(op_c, op_d))).
% 59.79/7.96 Proof:
% 59.79/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c))
% 60.63/7.96 = { by lemma 69 R->L }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), op_c))
% 60.63/7.96 = { by lemma 31 R->L }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(mult(op_c, mult(op_c, op_c)))))
% 60.63/7.96 = { by lemma 28 R->L }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, mult(op_c, mult(op_c, op_c))))))
% 60.63/7.96 = { by lemma 19 }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.96 = { by lemma 69 }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.96 = { by lemma 66 }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.96 = { by lemma 69 }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_c, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.96 = { by axiom 10 (c07) }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_d, mult(op_c, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 60.63/7.96 = { by lemma 69 R->L }
% 60.63/7.96 rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 60.63/7.96 = { by lemma 34 }
% 60.63/7.96 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_d)))
% 60.63/7.96 = { by lemma 120 }
% 60.63/7.96 ld(op_d, i(mult(op_c, op_d)))
% 60.63/7.96
% 60.63/7.96 Lemma 159: ld(mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = rd(ld(X, op_d), X).
% 60.63/7.96 Proof:
% 60.63/7.96 ld(mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 154 R->L }
% 60.63/7.96 mult(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 23 R->L }
% 60.63/7.96 rd(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.96 = { by lemma 116 }
% 60.63/7.96 rd(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(X, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.96 = { by lemma 82 R->L }
% 60.63/7.96 rd(ld(X, rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, op_d))))), X)
% 60.63/7.96 = { by axiom 4 (c04) }
% 60.63/7.96 rd(ld(X, op_d), X)
% 60.63/7.96
% 60.63/7.96 Lemma 160: ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(X, mult(op_d, mult(op_d, mult(op_d, op_d))))) = rd(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X).
% 60.63/7.96 Proof:
% 60.63/7.96 ld(mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.96 = { by lemma 152 }
% 60.63/7.96 mult(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.96 = { by lemma 23 R->L }
% 60.63/7.96 rd(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 115 R->L }
% 60.63/7.96 rd(ld(X, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 82 R->L }
% 60.63/7.96 rd(ld(X, rd(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 60.63/7.96 = { by lemma 44 R->L }
% 60.63/7.96 rd(ld(X, rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), X)
% 60.63/7.96 = { by axiom 4 (c04) }
% 60.63/7.96 rd(ld(X, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), X)
% 60.63/7.96
% 60.63/7.96 Lemma 161: ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))) = op_d.
% 60.63/7.96 Proof:
% 60.63/7.96 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 36 R->L }
% 60.63/7.96 ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.96 = { by lemma 159 }
% 60.63/7.96 rd(ld(mult(op_c, op_c), op_d), mult(op_c, op_c))
% 60.63/7.96 = { by lemma 106 }
% 60.63/7.96 ld(mult(op_c, op_c), mult(op_d, mult(op_c, op_c)))
% 60.63/7.96 = { by lemma 69 R->L }
% 60.63/7.96 ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 60.63/7.96 = { by lemma 157 }
% 60.63/7.96 ld(mult(op_c, op_c), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d)))
% 60.63/7.96 = { by lemma 108 }
% 60.63/7.96 ld(op_c, mult(op_c, op_d))
% 60.63/7.96 = { by axiom 3 (c02) }
% 60.63/7.96 op_d
% 60.63/7.96
% 60.63/7.96 Lemma 162: ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))) = mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))).
% 60.63/7.96 Proof:
% 60.63/7.96 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.96 = { by lemma 36 R->L }
% 60.63/7.96 ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.96 = { by lemma 160 }
% 60.63/7.96 rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_c, op_c))
% 60.63/7.96 = { by lemma 106 }
% 60.63/7.96 ld(mult(op_c, op_c), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 60.63/7.96 = { by lemma 45 }
% 60.63/7.96 ld(mult(op_c, op_c), ld(op_d, mult(op_c, op_c)))
% 60.63/7.96 = { by lemma 130 R->L }
% 60.63/7.96 ld(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 60.63/7.96 = { by lemma 86 }
% 60.63/7.97 mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97
% 60.63/7.97 Lemma 163: ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))) = ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))).
% 60.63/7.97 Proof:
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))
% 60.63/7.97 = { by lemma 86 R->L }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))
% 60.63/7.97 = { by lemma 130 }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), ld(op_d, mult(op_c, op_c))))
% 60.63/7.97 = { by lemma 45 R->L }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c))))
% 60.63/7.97 = { by lemma 106 R->L }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_c, op_c)))
% 60.63/7.97 = { by lemma 160 R->L }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.97 = { by lemma 152 }
% 60.63/7.97 ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.97 = { by lemma 97 R->L }
% 60.63/7.97 mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97 = { by lemma 162 }
% 60.63/7.97 mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97 = { by lemma 45 }
% 60.63/7.97 ld(op_d, mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97 = { by lemma 162 }
% 60.63/7.97 ld(op_d, mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97 = { by lemma 45 }
% 60.63/7.97 ld(op_d, ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.97 = { by lemma 46 R->L }
% 60.63/7.97 ld(mult(op_d, op_d), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))
% 60.63/7.97 = { by lemma 136 }
% 60.63/7.97 ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))
% 60.63/7.97 = { by axiom 5 (c01) R->L }
% 60.63/7.97 mult(mult(op_d, op_d), ld(mult(op_d, op_d), ld(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))))
% 60.63/7.97 = { by lemma 94 R->L }
% 60.63/7.97 mult(mult(op_d, op_d), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))))
% 60.63/7.97 = { by lemma 70 R->L }
% 60.63/7.97 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))))
% 60.63/7.97 = { by lemma 146 R->L }
% 60.63/7.97 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))
% 60.63/7.97 = { by lemma 141 }
% 60.63/7.97 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c))))
% 60.63/7.97 = { by lemma 118 R->L }
% 60.63/7.97 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)))
% 60.63/7.97 = { by lemma 74 }
% 60.63/7.97 ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, op_c))
% 60.63/7.97 = { by lemma 128 }
% 60.63/7.97 ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))
% 60.63/7.97
% 60.63/7.97 Lemma 164: rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))) = mult(op_d, op_c).
% 60.63/7.97 Proof:
% 60.63/7.97 rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)))
% 60.63/7.97 = { by lemma 151 }
% 60.63/7.97 rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.97 = { by lemma 143 R->L }
% 60.63/7.97 rd(mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))
% 60.63/7.97 = { by axiom 4 (c04) }
% 60.63/7.98 mult(op_d, op_c)
% 60.63/7.98
% 60.63/7.98 Goal 1 (goals): mult(op_c, op_d) = mult(op_d, op_c).
% 60.63/7.98 Proof:
% 60.63/7.98 mult(op_c, op_d)
% 60.63/7.98 = { by lemma 14 R->L }
% 60.63/7.98 i(i(mult(op_c, op_d)))
% 60.63/7.98 = { by axiom 5 (c01) R->L }
% 60.63/7.98 i(mult(op_d, ld(op_d, i(mult(op_c, op_d)))))
% 60.63/7.98 = { by lemma 158 R->L }
% 60.63/7.98 i(mult(op_d, rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c))))
% 60.63/7.98 = { by lemma 69 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c))))
% 60.63/7.98 = { by lemma 158 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, i(mult(op_c, op_d)))))
% 60.63/7.98 = { by lemma 131 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, ld(op_c, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.98 = { by lemma 124 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(op_c, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 107 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(op_c, i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 85 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, i(ld(mult(op_c, mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 54 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_c, mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 92 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_c, mult(op_c, op_c)), i(mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 58 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(i(mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, mult(op_c, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 92 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, mult(op_c, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 111 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 150 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 144 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 156 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 17 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), i(mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 111 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 151 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), i(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 17 }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, op_c), i(mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 92 R->L }
% 60.63/7.98 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.98 = { by lemma 25 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, op_c), rd(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 164 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(mult(op_d, op_c), rd(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 164 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))), rd(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 89 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 164 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(rd(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_c)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 59 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_c))), rd(ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, op_c)))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 50 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(rd(i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_c))), ld(mult(op_d, op_c), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_c)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 25 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 156 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(op_d, ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 45 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, mult(op_c, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 155 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by axiom 5 (c01) }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 26 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))))))
% 60.63/7.99 = { by lemma 107 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, op_d))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c)))))))
% 60.63/7.99 = { by lemma 84 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), op_c))))
% 60.63/7.99 = { by lemma 68 }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, op_d)), op_c))))
% 60.63/7.99 = { by lemma 114 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), rd(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c)))))
% 60.63/7.99 = { by lemma 51 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_d, mult(op_d, mult(op_d, op_d))), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by lemma 111 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))
% 60.63/7.99 = { by axiom 5 (c01) R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))))
% 60.63/7.99 = { by lemma 107 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), ld(mult(op_d, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.99 = { by lemma 17 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, op_c), i(mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/7.99 = { by lemma 17 R->L }
% 60.63/7.99 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(mult(mult(op_d, op_c), mult(mult(op_d, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))
% 60.63/8.00 = { by lemma 147 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.63/8.00 = { by lemma 120 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.63/8.00 = { by lemma 64 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.63/8.00 = { by lemma 98 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d))))))))
% 60.63/8.00 = { by lemma 163 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 92 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 64 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 107 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 64 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 136 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 62 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 111 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, op_c))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 25 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), ld(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 111 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), ld(mult(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 109 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), i(mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 92 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 145 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_c, op_c)), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 136 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 92 }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, op_d))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.63/8.00 = { by lemma 64 R->L }
% 60.63/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.00 = { by lemma 54 R->L }
% 60.96/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.00 = { by lemma 71 R->L }
% 60.96/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.00 = { by lemma 69 }
% 60.96/8.00 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 161 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 69 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(op_d, mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 161 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 97 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 154 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 159 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), rd(ld(mult(op_c, op_c), op_d), mult(op_c, op_c))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 106 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), mult(op_d, mult(op_c, op_c)))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 69 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 157 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_c, op_c), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d)))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 108 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(op_c, mult(op_c, op_d))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by axiom 3 (c02) }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 36 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, op_d)))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 154 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 40 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(mult(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 18 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(i(ld(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 163 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 64 }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, op_d)))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.01 = { by lemma 67 R->L }
% 60.96/8.01 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 64 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 98 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 36 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, op_d)))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 87 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 16 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 16 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(mult(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), mult(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), op_d))), op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 49 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(mult(i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 16 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 18 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 50 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 12 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 70 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(mult(mult(op_d, op_d), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 20 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(mult(mult(op_d, op_d), mult(mult(op_c, op_c), mult(mult(op_d, op_d), i(mult(op_d, op_d))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 42 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(rd(mult(mult(op_d, op_d), mult(mult(op_c, op_c), mult(mult(op_d, op_d), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 49 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(mult(mult(op_d, op_d), mult(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 70 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 36 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), ld(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 70 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(i(mult(mult(op_d, op_d), ld(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 17 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(ld(mult(op_d, op_d), i(ld(mult(op_c, op_c), mult(op_d, op_d)))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 50 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(rd(ld(mult(op_d, op_d), mult(op_c, op_c)), mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 12 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(rd(ld(mult(op_d, op_d), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 43 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(op_c, mult(op_c, mult(op_c, op_c))))), mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 13 }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(i(mult(op_d, op_d)), mult(op_d, op_d)))), mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.02 = { by lemma 42 R->L }
% 60.96/8.02 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(rd(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_d, op_d)))), mult(op_d, op_d)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 49 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 43 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(ld(mult(op_d, op_d), mult(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 36 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(op_d, ld(ld(mult(op_d, op_d), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 122 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), rd(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 35 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(rd(ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))))))))))
% 60.96/8.03 = { by lemma 124 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(op_d, ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))))
% 60.96/8.03 = { by lemma 137 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))))
% 60.96/8.03 = { by lemma 50 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), rd(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.96/8.03 = { by lemma 119 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(mult(op_c, op_c), op_d))))))
% 60.96/8.03 = { by lemma 36 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, op_c), op_d))))))
% 60.96/8.03 = { by lemma 91 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_c, mult(op_c, op_c)), mult(op_c, op_d)))))))
% 60.96/8.03 = { by lemma 157 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), mult(op_c, op_c)))))))
% 60.96/8.03 = { by lemma 71 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))))), mult(op_c, op_c))))))
% 60.96/8.03 = { by lemma 133 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, op_d))))))
% 60.96/8.03 = { by lemma 36 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(op_c, op_c), mult(op_d, op_d))))))
% 60.96/8.03 = { by lemma 110 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), mult(mult(op_c, op_c), i(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.96/8.03 = { by lemma 18 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, op_c), i(ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.96/8.03 = { by lemma 18 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(ld(mult(op_d, op_c), ld(mult(op_c, op_c), mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))))))))
% 60.96/8.03 = { by lemma 149 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(ld(mult(op_d, mult(op_d, mult(op_d, op_d))), mult(op_d, op_c))))))
% 60.96/8.03 = { by lemma 93 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(op_d, op_c))))))
% 60.96/8.03 = { by lemma 17 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), i(mult(op_d, op_c))))))
% 60.96/8.03 = { by lemma 113 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(op_c, mult(op_c, op_c))))))
% 60.96/8.03 = { by lemma 153 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), ld(mult(op_d, mult(op_d, op_d)), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, mult(op_c, op_c)))))))
% 60.96/8.03 = { by lemma 68 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d)))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, mult(op_c, op_c)))))))
% 60.96/8.03 = { by lemma 155 R->L }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), mult(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, mult(op_c, op_c))))))))
% 60.96/8.03 = { by axiom 3 (c02) }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, mult(op_d, op_d)), mult(op_c, mult(op_c, op_c))))))
% 60.96/8.03 = { by lemma 142 }
% 60.96/8.03 i(ld(mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, mult(op_d, op_d))))))), ld(mult(op_d, op_d), mult(op_c, mult(op_c, op_c)))))
% 60.96/8.03 = { by lemma 95 }
% 60.96/8.03 i(ld(op_d, mult(op_c, mult(op_c, op_c))))
% 60.96/8.03 = { by lemma 65 }
% 60.96/8.03 i(i(mult(op_d, op_c)))
% 60.96/8.03 = { by lemma 14 }
% 60.96/8.03 mult(op_d, op_c)
% 60.96/8.03 % SZS output end Proof
% 60.96/8.03
% 60.96/8.03 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------